Results 81 to 90 of about 12,448 (236)

Further Generalization of Kobayashi's Gamma Function [PDF]

, 2001
In this paper, we introduce a further generalization of the gamma function involving Gauss hypergeometric function 2F1 (a, b; c ...
Alobaidi, G., Galue, L., Kalla, S.
core  

Feynman integral in $\mathbb R^1\oplus\mathbb R^m$ and complex expansion of $_2F_1$

, 2016
Closed form expressions are proposed for the Feynman integral $$ I_{D, m}(p,q) = \int\frac{d^my}{(2\pi)^m}\int\frac{d^Dx}{(2\pi)^D} \frac1{(x-p/2)^2+(y-q/2)^4} \frac1{(x+p/2)^2+(y+q/2)^4} $$ over $d=D+m$ dimensional space with $(x,y),\,(p,q)\in
Pogány, Tibor K., Shpot, Mykola A.
core   +1 more source

Images for the Y‐Function via Marichev–Saigo–Maeda Fractional Integration and Differentiation Operators

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
The Y‐function has emerged as a significant tool in generalized fractional calculus due to its ability to unify and extend numerous classical special functions and hypergeometric‐type functions. Applying the Marichev–Saigo–Maeda fractional integration and differentiation operators of any complex order to the Y‐function, this study establishes four ...
Engdasew Birhane, D. L. Suthar, Shikha Binwal   +2 more
wiley   +1 more source

Product and Quotient of Independent Gauss Hypergeometric Variables

Ingeniería y Ciencia, 2011
In this article, we have derived the probability density functions of the productand the quotient of two independent random variables having Gauss hypergeometricdistribution.
Daya Krishna Nagar, Danilo Bedoya Valencia   +1 more
doaj  

On the Generalized Class of Multivariable Humbert‐Type Polynomials

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
The present paper deals with the class of multivariable Humbert polynomials having generalization of some well‐known polynomials like Gegenbauer, Legendre, Chebyshev, Gould, Sinha, Milovanović‐Djordjević, Horadam, Horadam‐Pethe, Pathan and Khan, a class of generalized Humbert polynomials in two variables etc.
B. B. Jaimini, Meenu, S. D. Purohit, D. L. Suthar, Shikha Binwal   +4 more
wiley   +1 more source

Celestial conformal blocks of massless scalars and analytic continuation of the Appell function F 1

Journal of High Energy Physics
In celestial conformal field theory (CCFT), the 4d massless scalars are represented by 2d conformal operators with conformal dimensions h = h ¯ $$ \overline{h} $$ = (1 + iλ)/2.
Wei Fan
doaj   +1 more source

Solution of Fractional Kinetic Equations Involving New Extended Incomplete Second Appell Hypergeometric Matrix Functions

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this paper, we introduce a new extension of the incomplete second Appell hypergeometric matrix functions (EISAHMFs) and extension of the second Appell hypergeometric matrix functions (ESAHMFs) in terms of the extended incomplete Pochhammer matrix symbols and extended Pochhammer matrix symbols, respectively.
Muneera Abdullah Qadha, Sarah Abdullah Qadha, Yusuf Gurefe   +2 more
wiley   +1 more source

A Class of Integral Operators Preserving Subordination and Superordination

Journal of Inequalities and Applications, 2008
We give some subordination- and superordination-preserving properties of certain nonlinear integral operators defined on the space of normalized analytic functions in the open unit disk.
In Hwa Kim, Nak Eun Cho
doaj   +2 more sources

The Magnetic Field from Cylindrical Arc Coils and Magnets: A Compendium with New Analytic Solutions for Radial Magnetization and Azimuthal Current

Advanced Physics Research, Volume 3, Issue 7, July 2024.
This study provides analytic solutions for the magnetic field of coils and magnets that have a non‐axisymmetric cylindrical geometry with a rectangular cross‐section. The equations can be readily applied to find the magnetostatic field in linear or non‐linear systems that contain a large set of elements.
Matthew Forbes, William S. P. Robertson, Anthony C. Zander, Johannes J. H. Paulides   +3 more
wiley   +1 more source

Gauss quadrature approximations to hypergeometric and confluent hypergeometric functions

Journal of Computational and Applied Mathematics, 2002
The author analyzes the error of the Gauss quadrature formula to compute hypergeometric and confluent hypergeometric functions based on their integral representations. The error is analyzed both in terms of the derivatives of the integrand and in terms of the derivative-free contour integral representation of the remainder term in the case of the ...
openaire   +1 more source