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Fourier Transforms of Some Special Functions in Terms of Orthogonal Polynomials on the Simplex and Continuous Hahn Polynomials
In this paper, Fourier transform of multivariate orthogonal polynomials on the simplex is presented. A new family of multivariate orthogonal...
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Special Relativity
The traditional way to formulate special relativity is to use the so-called \(3+1\)...
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The Theory of Zeta-Functions of Root Systems
The contents of this book was created by the authors as a simultaneous generalization of Witten zeta-functions, Mordell–Tornheim multiple...
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Certain transformations and special values of hypergeometric functions over finite fields
In this article we find finite field analogues of certain transformations satisfied by the classical hypergeometric series. Using properties of Gauss...
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Functions
The concept of function is introduced along with the related nomenclature: domain, independent variable, image, range and synonyms. Surjective,...
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Special directions on the finite affine plane
In this paper we study the number of special directions of sets of cardinality divisible by p on a finite plane of order p , where p is a prime. We...
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Evaluation of integral transforms using special functions with applications to biological tissues
In this paper, we aim to establish several new closed-form evaluations of certain integral transforms involving the rational and exponential...
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Twisting asymptotic symmetries and algebraically special vacuum solutions
In this paper, we study asymptotic symmetries and algebraically special exact solutions in the Newman-Penrose formalism. Removing the hypersurface...
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Radon–Kipriyanov Transform of Laplace Series by Weight Spherical Functions
AbstractIn this paper we consider the Radon–Kipriyanov transform and its relationship with the special Radon transform. The representation of plane...
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Investigation of the opinions of pre-service special education teachers on the use of assistive technologies in special education
Teachers are expected to have sufficient knowledge and skills on assistive technologies in order to use assistive technologies, which are defined as...
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From wave functions to tau-functions for the Volterra lattice hierarchy
For an arbitrary solution to the Volterra lattice hierarchy, the logarithmic derivatives of the tau-function of the solution can be computed by the...
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Complex Creation Operator and Planar Automorphic Functions
We provide a concrete characterization of the poly-analytic planar automorphic functions, a special class of non analytic planar automorphic...
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Text Functions
In the realm of data transformation and manipulation, text data stands as a foundational building block. Whether dealing with customer names, product...
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Random Functions and Random Fields, Autocorrelation Functions
The brief survey of random functions and fields, and properties of the two-point and multi-point correlation functions (Sects. 1.1–1.3), introduces...
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Special Topics
This chapter introduces three special topics as follows: (i) path integral representation of quantum dynamics and equilibrium properties; (ii) open...
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New integral formulas and identities involving special numbers and functions derived from certain class of special combinatorial sums
By applying p -adic integral, in Simsek (Montes Taurus J Pure Appl Math 3(1):38–61, 2021), we constructed generating function for the special numbers...
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Special pet, special care. Diet, provenance, and health analyses of a dog reveal strong ties with humans in Patagonia
The introduction of the dog in Patagonia is recorded from the Late Holocene. Documents from the nineteenth century indicate that dogs had various...
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Introduction to Special Issue on Advancing Health Equity Among Black Communities
The current paper serves as an introduction to this special issue, Advancing Health Equity among Black Communities, in which we provide an overview...
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Coefficient Estimates for Starlike and Convex Functions Related to Sigmoid Functions
We give sharp coefficient bounds for starlike and convex functions related to modified sigmoid functions. We also provide some sharp coefficient...
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Digital Signal Processing by Atomic Functions and Wavelets
AbstractThe monograph is devoted to research and development of methods for analysis of physical systems based on theories of R- and atomic...
