Results 71 to 80 of about 6,510,130 (173)
A comparative study on generating function relations for generalized hypergeometric functions via generalized fractional operators [PDF]
, 2018 In this paper, we present further generalizations of the beta function; Riemann–Liouville, Caputo and Kober–Erdelyi fractional operators by using confluent hypergeometric function with six parameters.
Praveen Agarwal +7 more
core +1 more source
Identifying the Degree of Gene Reuse During Repeated Adaptation
Molecular Ecology, Volume 34, Issue 24, December 2025.ABSTRACT The degree or extent of gene reuse during repeated adaptation offers key insights into the genomic constraints on evolution. Although many studies have identified signs of genomic repeatability, a thorough synthesis of methods for detecting gene reuse and estimating its extent is missing. In this review, we first propose a simple framework for
Samridhi Chaturvedi +2 more
wiley +1 more source
ZW and XY Sex Chromosomes Drive Rapid and Distinctive Evolution of Sex‐Biased Gene Expression
Molecular Ecology, Volume 34, Issue 22, November 2025.ABSTRACT Cichlids are a textbook model system of adaptive radiation and a fascinating example of rapid sex chromosome evolution. Yet in these fish, as in most other taxa, the mechanisms causing sex chromosome turnover and the subsequent impact thereof are unknown.
Kevin Hsiung +2 more
wiley +1 more source
Identifying genomic adaptation to local climate using a mechanistic evolutionary model
Methods in Ecology and Evolution, Volume 16, Issue 10, Page 2448-2460, October 2025.Abstract Identifying genomic adaptation is key to understanding species' evolutionary responses to environmental changes. However, current methods to identify adaptive variation have two major limitations. First, when estimating genetic variation, most methods do not account for observational uncertainty in genetic data because of finite sampling and ...
Nikunj Goel +5 more
wiley +1 more source
Marichev-Saigo-Maeda fractional integration operators of the Bassel functions
Le Matematiche, 2012 In this paper, we apply generalized operators of fractional integration involving Appell’s function F_3 (.) due to Marichev-Saigo-Maeda, to the Bessel function of first kind.
Sunil D. Purohit +2 more
doaj
Reduction of a class of Fox-Wright psi functions for certain rational parameters
, 1995 The Fox-Wright Psi function is a special case of Fox's H-function and a generalization of the generalized hypergeometric function. In the present paper, we show that the Psi function reduces to a single generalized hypergeometric function when certain of
Miller, A.R., Moskowitz, I.S.
core +1 more source
Generalized special functions defined by Wright function
, 2018 Bu çalışmada, Wright fonksiyonu yardımıyla genelleştirilmiş gama ve beta fonksiyonları tanımlanmış, ardından genelleştirilmiş beta fonksiyonu kullanılarak Gauss ve konfluent hipergeometrik fonksiyonları da genelleştirilmiştir.
Ata, Enes
core
Electronic Communications in Probability, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +4 more sources
The g-generalized Mittag-Leffler (p,s,k)-function
Alexandria Engineering JournalThe Mittag-Leffler (ML) function exists in the study of special functions. It may be used to solve a variety of fractional differential equations (FDEs) including fractional Laplace and fractional Poisson equations.
Umbreen Ayub +6 more
doaj +1 more source
Mathematics, 2015 In a joint paper with Srivastava and Chopra, we introduced far-reaching generalizations of the extended Gammafunction, extended Beta function and the extended Gauss hypergeometric function.
Rakesh K. Parmar
doaj +1 more source