Results 51 to 60 of about 5,448,308 (166)
Incomplete Caputo fractional derivative operators
Advances in Difference Equations, 2018 The main aim of this paper is to give the definitions of Caputo fractional derivative operators and show their use in the special function theory. For this purpose, we introduce new types of incomplete hypergeometric functions and obtain their integral ...
Mehmet Ali Özarslan, Ceren Ustaoglu
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Solving the n $n$‐Player Tullock Contest
Journal of Public Economic Theory, Volume 28, Issue 2, April 2026.ABSTRACT The n $n$‐player Tullock contest with complete information is known to admit explicit solutions in special cases, such as (i) homogeneous valuations, (ii) constant returns, and (iii) two contestants. But can the model be solved more generally?
Christian Ewerhart
wiley +1 more source
A New Padé Approach to Modeling Wormholes in Dekel‐Zhao Dark Matter Halos
Annalen der Physik, Volume 538, Issue 3, March 2026.A matter‐first Padé strategy is introduced to build traversable wormholes from prescribed dark‐matter halos. Rational Padé fits approximately the Dekel–Zhao density and are analytically integrated to obtain a shape function that exactly reproduces the intended matter content, avoiding spurious poles of geometry‐first schemes.
Jonathan Alves Rebouças +4 more
wiley +1 more source
Transformation relations of matrix functions associated to the hypergeometric function of Gauss under modular transformations [PDF]
, 2004 In this paper we consider 2 x 2 matrix functions analytic on the upper half plane associated to the hypergeometric function of Gauss, and establish transformations of these matrix functions under some modular transformations. The matrix functions studied
Watanabe, Humihiko
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MONOTONICITY AND CONVEXITY PROPERTIES OF THE NIELSEN’S β-FUNCTION
Проблемы анализа, 2017 The Nielsen’s β-function provides a powerful tool for evaluating and estimating certain integrals, series and mathematical constants. It is related to other special functions such as the digamma function, the Euler’s beta function and the Gauss ...
Kwara Nantomah
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Small Structures, Volume 7, Issue 2, February 2026.This work describes how to conceive validated mixed machine learned/empirical energy functions based on finite‐sized molecular clusters for condensed phase simulations. Energy functions for pure and heterogeneous systems are one of the backbones for molecular simulation of condensed phase systems.
JingChun Wang +10 more
wiley +1 more source
Hypergeometric motives from Euler integral representations
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We revisit certain one‐parameter families of affine covers arising naturally from Euler's integral representation of hypergeometric functions. We introduce a partial compactification of this family. We show that the zeta function of the fibers in the family can be written as an explicit product of L$L$‐series attached to nondegenerate ...
Tyler L. Kelly, John Voight
wiley +1 more source
Finite sum evaluation of the Gauss hypergeometric function in an important special case
, 1979 We present explicit results expressing the Gauss hypergeometric function F ( l + 1 , m + 1 / 2 ; n + 3 / 2
John Detrich, Robert W. Conn
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Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.This article focuses on the study of fractional integral operators involving the H―‐function. Two main theorems are established that present new fractional integral formulas associated with the H―‐function. Moreover, several well‐known results related to various special functions can be derived as particular cases by assigning suitable parameter values
S. Chandak +3 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
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