Results 71 to 80 of about 821 (208)

Gauss hypergeometric function and quadratic R-matrix algebras

St. Petersburg mathematical journal, 1993
We consider representations of quadratic $R$-matrix algebras by means of certain first order ordinary differential operators. These operators turn out to act as parameter shifting operators on the Gauss hypergeometric function and its limit cases and on classical orthogonal polynomials. The relationship with W.
Koornwinder, T.H., Kuznetsov, V.B.
openaire   +5 more sources

Composition Formula for Saigo Fractional Calculus Operator on  p R q  Function

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
In this paper, we use the Saigo operators to create fractional integral and derivative formulations involving the generalized p R q function. The resulting expressions are represented using generalized Wright hypergeometric functions. We develop various results for fractional integrals and derivatives of the Weyl, Erdélyi–Kober, Saigo, and Riemann ...
Belete Debalkie, D. L. Suthar, Rodica D. Costin   +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

Study of (p, q)‐Symmetric Starlike Functions of Order η

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In the field of geometric function theory, we use the (p, q)‐differential operator in the complex unit disk to describe a novel class Sp,q∗∗η of symmetrical starlike functions of order η. Several interesting properties of functions belonging to the class Sp,q∗∗η are examined, such as growth, distortion, and convolution characteristics.
Imran Khan, Rashid Murtaza, Adnan, Mohammad Khalid Nasrat, Ozgur Ege   +4 more
wiley   +1 more source

Series Solution to a Fuchsian‐Type Differential Equation in Terms of Orthogonal Polynomials

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we study a thirteen‐parameter Fuchsian‐type second‐order linear differential equation that involves five regular singularities. By employing a tridiagonal representation technique, we formulate four cases under which the series solutions of the equation are obtained in terms of Jacobi polynomials.
Saiful Rahman Mondal, Pratap Narayan Pathak, Smritijit Sen   +2 more
wiley   +1 more source

Fractional Extensions of Jacobi Polynomials and Gauss Hypergeometric Function [PDF]

, 2005
2000 Mathematics Subject Classification: 26A33, 33C45This paper refers to a fractional order generalization of the classical Jacobi polynomials. Rodrigues’ type representation formula of fractional order is considered.
Gogovcheva, Elena, Boyadjiev, Lyubomir
core  

Functional reduction of one-loop Feynman integrals with arbitrary masses

Journal of High Energy Physics, 2022
A method of functional reduction for the dimensionally regularized one-loop Feynman integrals with massive propagators is described in detail. The method is based on a repeated application of the functional relations proposed by the author.
O. V. Tarasov
doaj   +1 more source

A Comprehensive Framework for Statistical Inference in Measurement System Assessment Studies

Applied Stochastic Models in Business and Industry, Volume 41, Issue 6, November/December 2025.
ABSTRACT Measurement system analysis aims to quantify the variability in data attributable to the measurement system and evaluate its contribution to overall data variability. This paper conducts a rigorous theoretical investigation of the statistical methods used in such analyses, focusing on variance components and other critical parameters.
Banafsheh Lashkari, Shojaeddin Chenouri
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

Some Connections between the Spherical and Parabolic Bases on the Cone Expressed in terms of the Macdonald Function

Abstract and Applied Analysis, 2014
Computing the matrix elements of the linear operator, which transforms the spherical basis of SO(3,1)-representation space into the hyperbolic basis, very recently, Shilin and Choi (2013) presented an integral formula involving the product of two ...
I. A. Shilin, Junesang Choi
doaj   +1 more source