scholarly journals Application of Quasisubordination to Certain Classes of Meromorphic Functions

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Syed Ghoos Ali Shah ◽  
Saqib Hussain ◽  
Akhter Rasheed ◽  
Zahid Shareef ◽  
Maslina Darus
Keyword(s):  
Bessel Function ◽  
Complex Analysis ◽  
Meromorphic Functions ◽  
Real Analysis ◽  
Real Functions

Inequalities play a fundamental role in many branches of mathematics and particularly in real analysis. By using inequalities, we can find extrema, point of inflection, and monotonic behavior of real functions. Subordination and quasisubordination are important tools used in complex analysis as an alternate of inequalities. In this article, we introduce and systematically study certain new classes of meromorphic functions using quasisubordination and Bessel function. We explore various inequalities related with the famous Fekete-Szego inequality. We also point out a number of important corollaries.

scholarly journals A note on meromorphic functions with positive coefficients associated wth Bessel function

2020 ◽  
Vol 8 (4) ◽  
pp. 1622-1628
Author(s):  
Deshmukh K.C. ◽  
Rajkumar N. Ingle ◽  
P. Thirupathi Reddy
Keyword(s):  
Bessel Function ◽  
Meromorphic Functions ◽  
Positive Coefficients

scholarly journals The Bessel Expansion of Fourier Integral on Finite Interval

Symmetry ◽  
2019 ◽  
Vol 11 (5) ◽  
pp. 607
Author(s):  
Yongxiong Zhou ◽  
Zhenyu Zhao
Keyword(s):  
Bessel Function ◽  
Numerical Experiments ◽  
Complex Analysis ◽  
Finite Interval ◽  
Fourier Integral ◽  
Type Method ◽  
Function Expansion ◽  
Oscillation Frequencies

In this paper, we further extend the Filon-type method to the Bessel function expansion for calculating Fourier integral. By means of complex analysis, this expansion is effective for all the oscillation frequencies. Namely, the errors of the expansion not only decrease as the order of the derivative increases, but also decrease rapidly as the frequency increases. Some numerical experiments are also presented to verify the effectiveness of the method.

scholarly journals Certain Subclass of Meromorphic Functions with Positive Coefficients Defined by Bessel Function

2020 ◽  
pp. 124-129
Author(s):  
Santosh M. POPADE ◽  
Rajkumar N. INGLE ◽  
P. THIRUPATHI REDDY ◽  
B VENKATESWARLU
Keyword(s):  
Bessel Function ◽  
Meromorphic Functions ◽  
Positive Coefficients

scholarly journals Entropy Monotonicity and Superstable Cycles for the Quadratic Family Revisited

Entropy ◽  
2020 ◽  
Vol 22 (10) ◽  
pp. 1136
Author(s):  
José M. Amigó ◽  
Ángel Giménez
Keyword(s):  
Topological Entropy ◽  
Complex Analysis ◽  
Critical Line ◽  
Real Analysis ◽  
Quadratic Maps ◽  
The Family ◽  
Quadratic Family

The main result of this paper is a proof using real analysis of the monotonicity of the topological entropy for the family of quadratic maps, sometimes called Milnor’s Monotonicity Conjecture. In contrast, the existing proofs rely in one way or another on complex analysis. Our proof is based on tools and algorithms previously developed by the authors and collaborators to compute the topological entropy of multimodal maps. Specifically, we use the number of transverse intersections of the map iterations with the so-called critical line. The approach is technically simple and geometrical. The same approach is also used to briefly revisit the superstable cycles of the quadratic maps, since both topics are closely related.

Uniqueness of Differential Polynomials of Meromorphic Functions Sharing a Small Function Without Counting Multiplicity

2016 ◽  
Vol 57 (1) ◽  
pp. 121-135
Author(s):  
Bui Thi Kieu Oanh ◽  
Ngo Thi Thu Thuy
Keyword(s):  
Nevanlinna Theory ◽  
Complex Analysis ◽  
Meromorphic Functions ◽  
Small Function ◽  
Uniqueness Problem ◽  
Differential Polynomials ◽  
Counting Multiplicity

Abstract The paper concerns interesting problems related to the field of Complex Analysis, in particular Nevanlinna theory of meromorphic functions. The author have studied certain uniqueness problem on differential polynomials of meromorphic functions sharing a small function without counting multiplicity. The results of this paper are extension of some problems studied by K. Boussaf et. al. in [2] and generalization of some results of S.S. Bhoosnurmath et. al. in [4].

Uniqueness of meromorphic functions sharing a value or small function

2016 ◽  
Vol 66 (4) ◽  
Author(s):  
Nguyen Van Thin ◽  
Ha Tran Phuong
Keyword(s):  
Nevanlinna Theory ◽  
Complex Analysis ◽  
Meromorphic Functions ◽  
Small Function ◽  
Uniqueness Problem ◽  
Differential Polynomials ◽  
A Value

AbstractThe paper concerns interesting problems related to the field of Complex Analysis, in particular Nevanlinna theory of meromorphic functions. The author have studied certain uniqueness problem on differential polynomials of meromorphic functions sharing a value or small function. The results of this paper are generalizations of some problems studied in [BOUSSAF, K.—ESCASSUT, A.—OJEDA, J.:

Certain subclass of meromorphic functions associated with Bessel function

2021 ◽  
Vol Accepted ◽  
Author(s):  
Bolineni Venkateswarlu ◽  
Pinnintti Thirupathi Reddy ◽  
Galla Swapna
Keyword(s):  
Bessel Function ◽  
Meromorphic Functions

scholarly journals Solving Riemann-Hilbert problems with meromorphic functions

2019 ◽  
Vol 11 (1) ◽  
pp. 117-130
Author(s):  
Dan Kucerovsky ◽  
Aydin Sarraf
Keyword(s):  
Meromorphic Function ◽  
Complex Plane ◽  
Blaschke Product ◽  
Analytic Functions ◽  
Complex Analysis ◽  
Meromorphic Functions ◽  
Factorization Theorem ◽  
Simply Connected ◽  
The Given

Abstract In this paper, we introduce the use of a powerful tool from theoretical complex analysis, the Blaschke product, for the solution of Riemann-Hilbert problems. Classically, Riemann-Hilbert problems are considered for analytic functions. We give a factorization theorem for meromorphic functions over simply connected nonempty proper open subsets of the complex plane and use this theorem to solve Riemann-Hilbert problems where the given data consists of a meromorphic function.

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