Results 11 to 20 of about 3,368,441 (216)

A relationship between rational and multi-soliton solutions of the BKP hierarchy [PDF]

open access: yes, 2005
We consider a special class of solutions of the BKP hierarchy which we call $\tau$-functions of hypergeometric type. These are series in Schur $Q$-functions over partitions, with coefficients parameterised by a function of one variable $\xi$, where the ...
Orlov, A.Y., Nimmo, J.J.C.
core   +9 more sources

A comparative study on generating function relations for generalized hypergeometric functions via generalized fractional operators [PDF]

open access: yesAdvances in Difference Equations, 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.
Ayşegül Çetinkaya   +3 more
doaj   +2 more sources

Inclusion Theorems of Certain Integral Transform Related to Normalized Hypergeometric Functions and Generalized Bessel Functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences
This study explores the geometric properties of normalized Gaussian hypergeometric functions in a certain subclass of analytic functions. This work investigates the inclusion properties of integral operators associated with generalized Bessel functions ...
Manas Kumar Giri, Raghavendar K.
doaj   +2 more sources

Quantifying the Evolutionary Potential for Delta Smelt Persistence in a Warming Habitat [PDF]

open access: yesEvolutionary Applications, Volume 19, Issue 9, September 2026.
ABSTRACT Long‐term persistence of managed species will depend, in part, on whether the species harbors the physiological or genetic potential to adjust to warming temperatures, and whether relevant genetic variation is modified by management practices.
Joanna S. Griffiths   +6 more
wiley   +2 more sources

Subclasses of Analytic Functions Defined by Generalized Hypergeometric Functions

open access: yesJournal of Function Spaces, 2016
We introduce a new subclass of analytic functions in the unit disk U, defined by using the generalized hypergeometric functions, which extends some previous well-known classes defined by different authors.
Badr S. Alkahtani   +2 more
doaj   +2 more sources

Two dimensional Laplace transforms of generalized hypergeometric functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1988
The object of this paper is to obtain new operational relations between the original and the image functions that involve generalized hypergeometric G-functions.
R. S. Dahiya, I. H. Jowhar
doaj   +2 more sources

Implementation of summation theorems of Andrews and Gessel-Stanton

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
Generalized hypergeometric functions and their natural generalizations in one and several variables appear in many mathematical problems and their applications.
M.I. Qureshi, T.R. Shah
doaj   +1 more source

Derivatives of any Horn-type hypergeometric functions with respect to their parameters

open access: yesNuclear Physics B, 2020
We consider the derivatives of Horn hypergeometric functions of any number of variables with respect to their parameters. The derivative of such a function of n variables is expressed as a Horn hypergeometric series of n+1 infinite summations depending ...
Vladimir V. Bytev, Bernd A. Kniehl
doaj   +1 more source

Some $k$-Horn hypergeometric functions and their properties

open access: yesJournal of New Results in Science, 2023
In the theory of special functions, the $k$-Pochhammer symbol is a generalization of the Pochhammer symbol. With the help of the $k$-Pochhammer symbol, we introduce and study a new generalization of the $k$-Horn hypergeometric functions such as, ${G}_{1}^
Caner Çatak   +3 more
doaj   +1 more source

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