Results 101 to 110 of about 527,794 (256)
Further extension of Voigt function and its properties
Advances in Difference Equations, 2020 In this paper, by using the confluent hypergeometric function of the first kind, we propose a further extension of the Voigt function and obtain its useful properties as (for example) explicit representation and partly bilateral and partly unilateral ...
Nabiullah Khan +4 more
doaj +1 more source
Molecular Ecology, EarlyView.Abstract Visual cues are of critical importance for the attraction of animal pollinators, however, little is known about the molecular mechanisms underpinning intraspecific floral colour variation. Here, we combined comparative spectral analysis, targeted metabolite profiling, multi‐tissue transcriptomics, differential gene expression, sequence ...
Darren C. J. Wong +6 more
wiley +1 more source
A new extended multivariable Horn function
International Journal of Mathematics for IndustryThis study presents a new multivariable fourth class of Horn function. Additionally, for the new extended multivariable fourth-type Horn function, we create bilateral generating functions and particular generating functions for this multivariable fourth ...
Priyanka Gupta +3 more
doaj +1 more source
An Inequality for Basic Confluent Hypergeometric Series [PDF]
arXiv, 2006 In this very short note we will derive an inequality for a class of entire functions including all the confluent basic hypergeometric series and an inequality for a class of meromorphic functions including theta functions.
arxiv
An extension of beta function, its statistical distribution, and associated fractional operator
Advances in Difference Equations, 2020 Recently, various forms of extended beta function have been proposed and presented by many researchers. The principal goal of this paper is to present another expansion of beta function using Appell series and Lauricella function and examine various ...
Ankita Chandola +3 more
doaj +1 more source
Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables [PDF]
arXiv, 2019 In this paper, we introduce a new class of confluent hypergeometric functions of many variables, study their properties, and determine a system of partial differential equations that this function satisfies. It turns out that all the fundamental solutions of the generalized Helmholtz equation with several singular coefficients are written out through ...
arxiv
Confluent hypergeometric expansions of the solutions of the double-confluent Heun equation [PDF]
Armenian J. Phys. 10, 212-223 (2017), 2014 Several expansions of the solutions of the double-confluent Heun equation in terms of the Kummer confluent hypergeometric functions are presented. Three different sets of these functions are examined. Discussing the expansions without a pre-factor, it is shown that two of these functions provide expansions the coefficients of which obey three-term ...
arxiv
A New Class of Integrals Involving Extended Hypergeometric Function [PDF]
arXiv, 2017 Our purpose in this present paper is to investigate generalized integration formulas containing the extended generalized hypergeometric function and obtained results are expressed in terms of extended hypergeometric function. Certain special cases of the main results presented here are also pointed out for the extended Gauss' hypergeometric and ...
arxiv
Generalized Laplace transform with matrix variables
International Journal of Mathematics and Mathematical Sciences, 1987 In the present paper we have extended generalized Laplace transforms of Joshi to the space of m×m symmetric matrices using the confluent hypergeometric function of matrix argument defined by Herz as kernel.
R. M. Joshi, J. M. C. Joshi
doaj +1 more source
Exponential starlikeness and convexity of confluent hypergeometric, Lommel and Struve functions [PDF]
arXiv, 2019 Sufficient conditions are obtained on the parameters of Lommel function of the first kind, generalized Struve function of the first kind and the confluent hypergeometric function under which these special functions become exponential convex and exponential starlike in the open unit disk.
arxiv