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Special Functions
As we have seen in the previous chapters, typically, solutions of differential equations cannot be presented using elementary functions. Generally,...
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Integral Transforms and Special Functions
This chapter provides the essential mathematical tools to be used in the subsequent chapters, and is intended to make the book as self-contained as...
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Special functions emerging from symmetries of the space of solutions to special double confluent Heun equation
A family of quadruplets of interrelated functions holomorphic on the universal cover of the complex plane without zero (for brevity,
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Analysis of Generating Functions for Special Words and Numbers and Algorithms for Computation
Our aim is to construct and compute efficient generating functions enumerating the k -ary Lyndon words having prime number length which arise in many...
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Uniqueness of L functions with special class of meromorphic functions via sharing of pre-image sets
In this article, we address the uniqueness problem of Selberg class L -functions in relation to a question posed in a previous work by Khoai (Ann...
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Definite/Indefinite Integrals Involving Non-integral Powers for Certain Trigonometric Functions Times Special Functions
Treatment of definite integrals possessing non-integral power are mainly presented. Based on definite integrals with integral power(s), non-integral...
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Aggregate special functions to approximate permuting tri-homomorphisms and permuting tri-derivations associated with a tri-additive ψ-functional inequality in Banach algebras
In this paper, we define a new class of control functions through aggregate special functions. These class of control functions help us to stabilize...
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Explicit solution for a Sea-Breeze flow model with special viscosity functions
In this paper, we are concerned with determining the explicit solution of a Sea-Breeze flow model by selecting a special viscosity function. Firstly,...
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Special Exponential Functions on Lattices of Simple Lie Algebras and the Allotropic Modifications of Carbon
Modern definitions and properties of special orbits-functions of simple Lie algebras are systematized. Models of carbon modifications related to...
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Ostrowski-type inequalities pertaining to Atangana–Baleanu fractional operators and applications containing special functions
The objective of this article is to incorporate the concept of the Ostrowski inequality with the Atangana–Baleanu fractional integral operator. A...
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Applications to Some Standard Special Functions
We now apply our results to certain multiple Γ-type functions and multiple...
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Convergence of operators based on some special functions
The present article is in continuation of our previous paper by Gupta (Rev Real Acad Cienc Exactas Fis Nat Ser A-Mat 118:19, 2024,
https://doi.org/10.1007/s13398-023-01521-8... -
On Certain New Results of Fractional Calculus Involving Product of Generalized Special Functions
The key aim of the present work is to develop extended fractional calculus results associated with product of the generalized extended Mittag–Leffler...
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Fractional Elzaki Transformation with its Applications to Fractional Differential Equations and Special Functions
The aim of this chapter is to introduce some new properties and applications of the newly defined fractional Functional Operator called fractional...
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Geometric properties of the meromorphic functions class through special functions associated with a linear operator
According to the theory of regular geometric functions, the relevance of geometry to analysis is a critical feature. One of the significant tools to...
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On the generalized squeezing functions and Fridman invariants of special domains
The main purpose of this paper is to study the generalized squeezing functions and Fridman invariants of some special domains. As applications, we...
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Construction of Partial Solutions Using Special Functions for Equations with Fractional Derivative
AbstractPartial solutions with a singularity which are expressed in terms of the Wright functions for equations with Riemann–Liouville fractional...
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A few special problems of meromorphic functions share values in part with their shifts and derivatives
This article examines several uniqueness theorems for non-constant meromorphic functions of hyper-order strictly less than 1, whose k -th derivatives...