Search Results - "Mondal, Saiful R."

On the Containment of the Unit Disc Image by Analytical Functions in the Lemniscate and Nephroid Domains by Mondal, Saiful R

“…Suppose that A[sub.1] is a class of analytic functions f:D={z∈C:|z|<1}→C with normalization f(0)=1. Consider two functions P[sub.l] (z)=[square root of 1+z]…”
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Subordination Involving Regular Coulomb Wave Functions by Mondal, Saiful R.

“…The functions 1+z, ez, 1+Az, A∈(0,1] map the unit disc D to a domain which is symmetric about the x-axis. The Regular Coulomb wave function (RCWF) FL,η is a…”
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Mapping Properties of Associate Laguerre Polynomials in Leminiscate, Exponential and Nephroid Domain by Mondal, Saiful R.

“…The function PL(z)=1+z maps the unit disc D={z∈C:|z|<1} to a leminscate which is symmetric about the x-axis. The conditions on the parameters α and n, for…”
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Bohr’s Phenomenon for the Solution of Second-Order Differential Equations by Mondal, Saiful R.

“…The aim of this work is to establish a connection between Bohr’s radius and the analytic and normalized solutions of two differential second-order differential…”
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On Lemniscate Starlikeness of the Solution of General Differential Equations by Mondal, Saiful R.

“…In this article, we derived conditions on the coefficient functions a(z) and b(z) of the differential equations y″(z)+a(z)y′(z)+b(z)y(z)=0 and…”
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Radius of k-Parabolic Starlikeness for Some Entire Functions by Mondal, Saiful R.

“…This article considers three types of analytic functions based on their infinite product representation. The radius of the k-parabolic starlikeness of the…”
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Geometric Nature of Special Functions on Domain Enclosed by Nephroid and Leminscate Curve by Alzahrani, Reem, Mondal, Saiful R.

“…In this work, the geometric nature of solutions to two second-order differential equations, zy′′(z)+a(z)y′(z)+b(z)y(z)=0 and z2y′′(z)+a(z)y′(z)+b(z)y(z)=d(z),…”
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Bounds for Extreme Zeros of Classical Orthogonal Polynomials Related to Birth and Death Processes by Mondal, Saiful R., Das, Sourav

“…In this paper, we consider birth and death processes with different sequences of transition rates and find the bound for the extreme zeros of orthogonal…”
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Sufficient Conditions for Linear Operators Related to Confluent Hypergeometric Function and Generalized Bessel Function of the First Kind to Belong to a Certain Class of Analytic Functions by Mondal, Saiful R., Giri, Manas Kumar, Kondooru, Raghavendar

“…Geometric function theory has extensively explored the geometric characteristics of analytic functions within symmetric domains. This study analyzes the…”
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Geometric Properties of Normalized Galué Type Struve Function by Sarkar, Samanway, Das, Sourav, Mondal, Saiful R.

“…The field of geometric function theory has thoroughly investigated starlike functions concerning symmetric points. The main objective of this work is to derive…”
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Redheffer-Type Bounds of Special Functions by Alzahrani, Reem, Mondal, Saiful R.

“…In this paper, we aim to construct inequalities of the Redheffer type for certain functions defined by the infinite product involving the zeroes of these…”
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Certain Geometric Properties of the Fox–Wright Functions by Kumar, Anish, Mondal, Saiful R., Das, Sourav

“…The primary objective of this study is to establish necessary conditions so that the normalized Fox–Wright functions possess certain geometric properties, such…”
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On Geometric Properties of Bessel–Struve Kernel Functions in Unit Disc by Alarifi, Najla M., Mondal, Saiful R.

“…The Bessel–Struve kernel function defined in the unit disc is used in this study. The Bessel–Struve kernel functions are generalized in this article, and…”
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Inequalities of extended beta and extended hypergeometric functions by Mondal, Saiful R.

“…We study the log-convexity of the extended beta functions. As a consequence, we establish Turán-type inequalities. The monotonicity, log-convexity,…”
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Generalized fractional kinetic equations involving generalized Struve function of the first kind by Nisar, K.S., Purohit, S.D., Mondal, Saiful. R.

“…In recent paper Dinesh Kumar et al. developed a generalized fractional kinetic equation involving generalized Bessel function of first kind. The object of this…”
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Differential equation and inequalities of the generalized k-Bessel functions by Mondal, Saiful R., Akel, Mohamed S.

“…In this paper, we introduce and study a generalization of the k-Bessel function of order ν given by W ν , c k ( x ) : = ∑ r = 0 ∞ ( − c ) r Γ k ( r k + ν + k )…”
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On the Study of Trigonometric Polynomials Using Strum Sequence by Mondal, Saiful R., Abdeljawad, Thabet, Nisar, Kottakkaran Sooppy

“…This article constructs trigonometric polynomials of the sine and cosine whose sums are nonnegative. As an application, those nonnegative trigonometric sums…”
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Inequalities on an extended Bessel function by Ali, Rosihan M., Lee, See Keong, Mondal, Saiful R.

“…This paper studies an extended Bessel function of the form B b , p , c a ( x ) : = ∑ k = 0 ∞ ( − c ) k k ! Γ ( a k + p + b + 1 2 ) ( x 2 ) 2 k + p …”
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MONOTONICITY PROPERTIES OF THE GENERALIZED STRUVE FUNCTIONS by Ali, Rosihan M, Mondal, Saiful R, Nisar, Kottakkaran S

“…This paper introduces and studies a generalization of the classical Struve function of order p given by…”
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Dirichlet Problems in Lens and Lune by Akel, Mohamed, Mondal, Saiful R.

“…In this article, we obtain the explicit solvability of the Dirichlet problem for the Cauchy–Riemann operator, for a Beltrami operator with constant…”
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