scholarly journals Generating functions for two-variable polynomials related to a family of Fibonacci type polynomials and numbers

Filomat ◽  
2016 ◽  
Vol 30 (4) ◽  
pp. 969-975 ◽  
Author(s):  
Gulsah Ozdemir ◽  
Yilmaz Simsek
Keyword(s):  
Infinite Series ◽  
Chebyshev Polynomials ◽  
Generating Functions ◽  
Functional Equations ◽  
The Other ◽  
The Family

The purpose of this paper is to construct generating functions for the family of the Fibonacci and Jacobsthal polynomials. Using these generating functions and their functional equations, we investigate some properties of these polynomials. We also give relationships between the Fibonacci, Jacobsthal, Chebyshev polynomials and the other well known polynomials. Finally, we give some infinite series applications related to these polynomials and their generating functions.

scholarly journals On a functional equation arising from two processors with coupled inputs

2015 ◽  
Vol 4 (3) ◽  
pp. 264
Author(s):  
EL-Sayed El-Hady ◽  
Wolfgang Forg-Rob
Keyword(s):  
Functional Equation ◽  
Boundary Value Problem ◽  
Analytic Continuation ◽  
Generating Functions ◽  
Functional Equations ◽  
Elliptic Functions ◽  
Symmetric Case ◽  
The Other ◽  
Interesting Class

<p>During the last few decades, a certain interesting class of functional equations arises when obtaining the generating functions of many system distributions. Such a class of equations has numerous applications in many modern disciplines like wireless networks and communications. This paper has been motivated by an issue considered by Paul E. Wright in [Advances in applied probability, (1992), 986 􀀀 1007]. The functional equation obtained there has been solved using elliptic functions and analytic continuation, which in turn lead to the determination of the main unknown. Unfortunately that solution seems to be a bit too general with many technical assumptions. In this paper on one hand, we introduce a solution in the symmetric case using boundary value problem approach. On the other hand, we investigate the potential singularities of the unknowns of the functional equation giving one possible application, and we compute some expectation of interest using the corresponding generating function.</p>

Problems of Marriage and Self Surrender in The Novels of Shashi Deshpande

2019 ◽  
Vol 7 (11) ◽  
pp. 18
Author(s):  
Dr. Indu Goyal
Keyword(s):  
Middle Class ◽  
The Other ◽  
Important Thing ◽  
Female Protagonists ◽  
Central Concern ◽  
Modern Age ◽  
The Family ◽  
Traditional Marriage ◽  
Shashi Deshpande ◽  
Middle Class People

Marriage is an important thing in the life of a woman. The importance that our society attaches to marriage is reflected in our literature and it is the central concern of Shashi Deshpade’s novels. In our society where girl learns early that she is ‘Paraya Dhan’, and she is her parents’ responsibility till the day she is handed over to her rightful owners. What a girl makes of her life, how she shapes herself as an individual, what profession she takes up is not as important as whom she marries. Marriage is the ultimate goal of a woman’s life. This paper attempts to probe into the problems of marriage through the protagonists of her novels where one enjoys the freedom of marriage and the other accepts the traditional marriage. Shashi Deshpade highlights the problems of marriage faced by middle-class people in finding suitable grooms for their daughters. This problem is well-illustrated through the characters of her novels. Since the girl’s mind over her childhood is tuned that she is another’s property, she tries to attach a lot of importance to it. it is indeed a tragedy that even in the modern age, Indian females echo the same sentiment where it was marriage which mattered most of them but not to the men. It is a beginning of females sacrifices in life that marriage brings to her. Shashi Deshpande encourages her female protagonists to rise in rebellion against the males in the family matters, instead she wants to build a harmonious relationship between man and woman in a mood of compromise and reconciliation.  

On Commutation Properties of the Composition Relation of Convergent and Divergent Permutations (Part I)

2014 ◽  
Vol 58 (1) ◽  
pp. 13-22
Author(s):  
Roman Wituła ◽  
Edyta Hetmaniok ◽  
Damian Słota
Keyword(s):  
Finite Order ◽  
Convergent Series ◽  
The Other ◽  
Other Hand ◽  
The Family ◽  
Composition Relation ◽  
The Continuum

Abstract In the paper we present the selected properties of composition relation of the convergent and divergent permutations connected with commutation. We note that a permutation on ℕ is called the convergent permutation if for each convergent series ∑an of real terms, the p-rearranged series ∑ap(n) is also convergent. All the other permutations on ℕ are called the divergent permutations. We have proven, among others, that, for many permutations p on ℕ, the family of divergent permutations q on ℕ commuting with p possesses cardinality of the continuum. For example, the permutations p on ℕ having finite order possess this property. On the other hand, an example of a convergent permutation which commutes only with some convergent permutations is also presented.

Status of Family Fissidentaceae in Gujarat

2016 ◽  
Vol 1 (1) ◽  
Author(s):  
D.G. Shah ◽  
D.N. Mehta ◽  
R.V. Gujar
Keyword(s):  
Distinct Species ◽  
The State ◽  
The Other ◽  
Land Plants ◽  
Reproductive Structures ◽  
The Family ◽  
The Status ◽  
Vegetative Characters ◽  
First Time ◽  
Different Parts

Bryophytes are the second largest group of land plants and are also known as the amphibians of the plant kingdom. 67 species of bryophytes have been reported from select locations across the state of Gujrat. The status of family fissidentaceae which is a large moss family is being presented in this paper. Globally the family consists of 10 genera but only one genus, Fissidens Hedw. has been collected from Gujarat. Fissidens is characterized by a unique leaf structure and shows the presence of three distinct lamina, the dorsal, the ventral and the vaginant lamina. A total of 8 species of Fissidens have been reported from the state based on vegetative characters as no sporophyte stages were collected earlier. Species reported from the neighboring states also showed the absence of sporophytes. The identification of different species was difficult due to substantial overlap in vegetative characters. Hence a detailed study on the diversity of members of Fissidentaceae in Gujarat was carried out between November 2013 and February 2015. In present study 8 distinct species of Fissidens have been collected from different parts of the state. Three species Fissidens splachnobryoides Broth., Fissidens zollingerii Mont. and Fissidens curvato-involutus Dixon. have been identified while the other five are still to be identified. Fissidens zollingerii Mont. and Fissidens xiphoides M. Fleisch., which have been reported as distinct species are actually synonyms according to TROPICOS database. The presence of sexual reproductive structures and sporophytes for several Fissidens species are also being reported for the first time from the state.

Women-Friendly Policies being adopted by Organizations: An Innovative aspect

2016 ◽  
Vol 3 (01) ◽  
Author(s):  
Shlesha Singh ◽  
Mrinalini Pandey
Keyword(s):  
Sexual Harassment ◽  
Glass Ceiling ◽  
Gender Stereotype ◽  
The Other ◽  
Family Responsibilities ◽  
Other Hand ◽  
The Family ◽  
Workplace Barriers ◽  
Women In The Workforce ◽  
And Gender

Organizations are these days realizing the importance of women in the workforce and to tap that talent, organizations are now-a-days putting extra efforts. Workplaces were designed keeping men in mind and which has been intercepting women from continuing the competitive jobs and career along with the family responsibilities. On the other hand, there are various workplace barriers which are adding to the other problems. Women face several barriers at the workplace like sexual harassment, glass ceiling and gender stereotype.

Identities related to special polynomials and combinatorial numbers

Filomat ◽  
2017 ◽  
Vol 31 (15) ◽  
pp. 4833-4844 ◽  
Author(s):  
Eda Yuluklu ◽  
Yilmaz Simsek ◽  
Takao Komatsu
Keyword(s):  
Generating Functions ◽  
Functional Equations ◽  
Stirling Numbers ◽  
Bernoulli Numbers ◽  
Euler Numbers ◽  
Special Polynomials ◽  
Central Factorial Numbers

The aim of this paper is to give some new identities and relations related to the some families of special numbers such as the Bernoulli numbers, the Euler numbers, the Stirling numbers of the first and second kinds, the central factorial numbers and also the numbers y1(n,k,?) and y2(n,k,?) which are given Simsek [31]. Our method is related to the functional equations of the generating functions and the fermionic and bosonic p-adic Volkenborn integral on Zp. Finally, we give remarks and comments on our results.

scholarly journals Shall we quarrel or deal? The argumentation processes of parents and adolescents during family conflicts

2013 ◽  
Vol 3 (3) ◽  
pp. 195-205
Author(s):  
Nieves Correa Rodríguez ◽  
Juan Rodríguez ◽  
Esperanza Ceballos ◽  
Miriam Álvarez
Keyword(s):  
Perspective Taking ◽  
The Other ◽  
Family Conflicts ◽  
Observational Methodology ◽  
The Family ◽  
Family Harmony ◽  
Conflict Frequency

The polarization of postures in conflicts among parents and adolescents involve a threat for family harmony. Skills for argumentation and perspective taking are required to enable the achievement of satisfactory agreements during the processes of negotiation. The purpose of this paper has been to analyze the skills of parents and adolescents to adopt other perspectives when discussing a conflict by means of observational methodology. The study was carried out with 29 families (constituted by father, mother and an adolescent son or daughter) who were recorded while they argued about a real conflict. Frequency and duration of five levels of perspective-taking were registered (Myself; Reasoned myself; the other like an obstacle; the other adding to me; and us) in the discourse of the family, and also in the different members of the triad, considering their interrelations. The results were showing a moderated level of perspective-taking in family discussions, predominating the levels Reasoned myself, focused on explaining own perspective, and The other like an obstacle, focused on reasons to contest the perspective of the other. In general parents showed more perspective-taking. Particularly the mothers exhibited more sensitivity with her adolescent son or daughter, providing higher levels of perspective-taking and argumentation.

Barricyclin D1—a dimeric ellagitannin with a macrocyclic structure—and accompanying tannins from Barringtonia racemosa

2021 ◽  
Author(s):  
Shinji Yoshikawa ◽  
Lih-Geeng Chen ◽  
Morio Yoshimura ◽  
Yoshiaki Amakura ◽  
Tsutomu Hatano ◽  
...  
Keyword(s):  
Molecular Weight ◽  
High Molecular Weight ◽  
Natural Resource ◽  
The Other ◽  
Hydrolysable Tannin ◽  
The Family ◽  
Macrocyclic Structure

Abstract Our examination of high molecular weight polyphenolic constituents in the leaves of Barringtonia racemosa of the family Lecythidaceae uncovered five previously undescribed ellagitannins. One, barringtin M1 (1), among them was a hydrolysable tannin monomer, while remaining four, barringtins D1 (2), D2 (3), D3 (4) and barricyclin D1 (5), were all dimers. Barricyclin D1 had a first macrocyclic structure formed from casuarictin (6) and tellimagrandin I (7), and the other ellagitannins had structures related to 5. Two additional known phenolics, valoneic acid dilactone (8) and schimawalin A (9), were also isolated from the leaves. These results suggested that the leaves of B. racemosa is a natural resource rich in hydrolysable tannin oligomers.

Binomial subsampling

2006 ◽  
Vol 462 (2068) ◽  
pp. 1181-1195 ◽  
Author(s):  
Carsten Wiuf ◽  
Michael P.H Stumpf
Keyword(s):  
Mathematical Biology ◽  
Power Series ◽  
Generating Functions ◽  
Binomial Distribution ◽  
Random Variable ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
The Family ◽  
Necessary And Sufficient ◽  
Finite Moments

In this paper, we discuss statistical families with the property that if the distribution of a random variable X is in , then so is the distribution of Z ∼Bi( X ,  p ) for 0≤ p ≤1. (Here we take Z ∼Bi( X ,  p ) to mean that given X = x ,  Z is a draw from the binomial distribution Bi( x ,  p ).) It is said that the family is closed under binomial subsampling. We characterize such families in terms of probability generating functions and for families with finite moments of all orders we give a necessary and sufficient condition for the family to be closed under binomial subsampling. The results are illustrated with power series and other examples, and related to examples from mathematical biology. Finally, some issues concerning inference are discussed.

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