Properties of Generalized Univariate Hypergeometric Functions [PDF]
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van de Bult, F.J. +2 more
openaire +8 more sources
A relationship between rational and multi-soliton solutions of the BKP hierarchy [PDF]
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]
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
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]
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
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
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
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
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
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

