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Transformations and Reductions of Srivastava-Daoust Type Double Hypergeometric Functions
The generalized hypergeometric functions of one, two and more variables and allied Special Functions, and their associated transformations,...
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On a Class of New q-Hypergeometric Expansions as Discrete Analogues of the Erdélyi Type q-Integrals
Recently, Vyas et al. have developed an alternative way of proof for the Gasper’s discrete analogue of an Erdélyi integral and inspired from this new...
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Integral Formulae Associated with the S-Function, \(\overline{\mathbf{H} }\) -Function and the Aleph Function
The goal of this paper is to investigate some novel and feasible fractional integrals based on the two operators introduced by Marichev-Saigo in...
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Applications of General Summation Formulas Contiguous to q-Kummer Theorems
This work is motivated essentially by the fact that the applications of basic (or q-) hypergeometric functions are frequently needed in the form of...
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Scintillation and bit error rate calculation of Mathieu–Gauss beam in turbulence
We present on-axis, aperture averaged scintillation, and bit error rate performance of Mathieu–Gauss beams (MGB). We model atmosphere utilizing...
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Commonly Used Special Functions: Definitions and Computing
Special functions are dedicated mathematical functions invented by mathematicians. For instance, if the integrand is...
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Some Results on K-Wright Type Hypergeometric Function
In the present paper, we have developed a new form of Wright hypergeometric function by introducing the k-parameter such that k > 0, k ∈ N. Our aim...
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Distribution Models and Functions
This chapter outlines important distribution models that are used in reliability and risk analysis. First, an introduction to the general principles...
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Other Special Functions, Supertrigonometric and Superhyperbolic Functions
In this chapter, we propose some other special functions including the Rabotnov fractional exponential function, the Miller–Ross function, the...
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Introduction
The study of functional equations has a long history.
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Spherical harmonic covariance and magnitude function encodings for beamformer design
Microphone and speaker array designs have increasingly diverged from simple topologies due to diversity of physical host geometries and use cases....
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Klein-Gordon Equation with Double Ring Shaped Coulomb Potential via AIM
In this article Klein-Gordon equation is studied for Double Ring Shaped Coulomb Potential by Asymptotic Iteration Method. The bound state solution...
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Scintillation and Bit Error Rate Analysis of Lommel Beam
In this paper, we study on-axis (point like) scintillation, change in scintillation index depending on receiver aperture radius, and bit error rate...
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New proof to Somos’s Dedekind eta-function identities of level 10
Michael Somos used PARI/GP script to generate several Dedekind eta-function identities by using computer. In the present work, we prove two new...
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Tensor Vector Product-Based Dynamical Systems
The tensor vector product-based dynamical system (TVPDS) representation was pioneered in 2021 by Chen et al. [IEEE Trans. Netw. Sci. Eng.] as a novel...
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Simple and Accurate Approximations for the Sum of Nakagami-m and Related Random Variables
Simple and accurate closed-form approximations to the probability density function of the sum of independent identically distributed random variables...
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Performance Analysis of Multiuser MIMO System with Transmit Antenna Selection and MRC Receivers Over Fisher-Snedecor F Fading Channels
The outage probability and average bit error rate (ABER) of a multiuser, multiple-input and multiple-output (MIMO) scheme is presented in this paper....
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Stability Optimization of Twisted Rods
The stability problems are illustrated in this Chapter. In the context of twisted rods, the counterpart for Euler’s buckling problem is Greenhill's...
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Nonlocalization of singular potentials in quantum dynamics
Nonlocal modeling has drawn more and more attention and becomes steadily more powerful in scientific computing. In this paper, we demonstrate the...
