scholarly journals A Note on Parametric Kinds of the Degenerate Poly-Bernoulli and Poly-Genocchi Polynomials

Symmetry ◽  
2020 ◽  
Vol 12 (4) ◽  
pp. 614 ◽  
Author(s):  
Taekyun Kim ◽  
Waseem A. Khan ◽  
Sunil Kumar Sharma ◽  
Mohd Ghayasuddin
Keyword(s):  
Genocchi Polynomials ◽  
Analytical Properties ◽  
Parametric Polynomials

Recently, the parametric kind of some well known polynomials have been presented by many authors. In a sequel of such type of works, in this paper, we introduce the two parametric kinds of degenerate poly-Bernoulli and poly-Genocchi polynomials. Some analytical properties of these parametric polynomials are also derived in a systematic manner. We will be able to find some identities of symmetry for those polynomials and numbers.

scholarly journals A Parametric Kind of Fubini Polynomials of a Complex Variable

Mathematics ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 643
Author(s):  
Sunil Kumar Sharma ◽  
Waseem A. Khan ◽  
Cheon Seoung Ryoo
Keyword(s):  
Complex Variable ◽  
Generating Functions ◽  
Stirling Numbers ◽  
Genocchi Polynomials ◽  
Summation Formulae ◽  
Analytical Properties

In this paper, we propose a parametric kind of Fubini polynomials by defining the two specific generating functions. We also investigate some analytical properties (for example, summation formulae, differential formulae and relationships with other well-known polynomials and numbers) for our introduced polynomials in a systematic way. Furthermore, we consider some relationships for parametric kind of Fubini polynomials associated with Bernoulli, Euler, and Genocchi polynomials and Stirling numbers of the second kind.

scholarly journals Degenerate poly-Bell polynomials and numbers

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Taekyun Kim ◽  
Hye Kyung Kim
Keyword(s):  
Combinatorial Identities ◽  
Bell Polynomials ◽  
Genocchi Polynomials ◽  
Special Polynomials ◽  
Explicit Representations

AbstractNumerous mathematicians have studied ‘poly’ as one of the generalizations to special polynomials, such as Bernoulli, Euler, Cauchy, and Genocchi polynomials. In relation to this, in this paper, we introduce the degenerate poly-Bell polynomials emanating from the degenerate polyexponential functions which are called the poly-Bell polynomials when $\lambda \rightarrow 0$ λ → 0 . Specifically, we demonstrate that they are reduced to the degenerate Bell polynomials if $k = 1$ k = 1 . We also provide explicit representations and combinatorial identities for these polynomials, including Dobinski-like formulas, recurrence relationships, etc.

scholarly journals A new method for identifying the role of marital preferences at shaping marriage patterns

2021 ◽  
pp. 1-27
Author(s):  
Anna Naszodi ◽  
Francisco Mendonca
Keyword(s):  
Contingency Table ◽  
Transformation Method ◽  
New Method ◽  
Marriage Patterns ◽  
The Us ◽  
Analytical Properties ◽  
The Matrix ◽  
Transformation Methods

Abstract We develop a method which assumes that marital preferences are characterized either by the scalar-valued measure proposed by Liu and Lu, or by the matrix-valued generalized Liu–Lu measure. The new method transforms an observed contingency table into a counterfactual table while preserving its (generalized) Liu–Lu value. After exploring some analytical properties of the new method, we illustrate its application by decomposing changes in the prevalence of homogamy in the US between 1980 and 2010. We perform this decomposition with two alternative transformation methods as well where both methods capture preferences differently from Liu and Lu. Finally, we use survey evidence to support our claim that out of the three considered methods, the new transformation method is the most suitable for identifying the role of marital preferences at shaping marriage patterns. These data are also in favor of measuring assortativity in preferences à la Liu and Lu.

Analytical Properties of Gaize- and Silicate Glue-Based Xerogels with Immobilized Chrome Azurol S

2004 ◽  
Vol 59 (5) ◽  
pp. 419-423
Author(s):  
R. K. Chernova ◽  
L. M. Kozlova ◽  
I. V. Myznikova ◽  
Yu. G. Chudnova
Keyword(s):  
Chrome Azurol S ◽  
Analytical Properties

scholarly journals ON THE ANALYTICAL PROPERTIES OF IRON PHOSPHIDE AND PHOSPHATE.

1894 ◽  
Vol 16 (7) ◽  
pp. 477-485
Author(s):  
L. M. Dennis ◽  
B. S. Cushman
Keyword(s):  
Iron Phosphide ◽  
Analytical Properties

scholarly journals A Note on (h,q)-Genocchi Polynomials and Numbers of Higher Order

2010 ◽  
Vol 2010 ◽  
pp. 1-7 ◽  
Author(s):  
Lee-Chae Jang ◽  
Kyung-Won Hwang ◽  
Young-Hee Kim
Keyword(s):  
Higher Order ◽  
Genocchi Polynomials

scholarly journals On the analytical properties and some exact solutions of the Glukhovsky-Dolzhansky system

2017 ◽  
Vol 788 ◽  
pp. 012013
Author(s):  
I R Garashchuk ◽  
N A Kudryashov ◽  
D I Sinelshchikov
Keyword(s):  
Exact Solutions ◽  
Analytical Properties
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