Results 51 to 60 of about 27,869 (205)
, 2015 In this paper, we aim at establishing a generalized fractional integral version of Grüss type integral inequality by making use of the Gauss hypergeometric function fractional integral operator.
Junesang Choi, S. Purohit
semanticscholar +1 more source
Ground states of a non‐local variational problem and Thomas–Fermi limit for the Choquard equation
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract We study non‐negative optimisers of a Gagliardo–Nirenberg‐type inequality ∫∫RN×RN|u(x)|p|u(y)|p|x−y|N−αdxdy⩽C∫RN|u|2dxpθ∫RN|u|qdx2p(1−θ)/q,$$\begin{align*} & \iint\nolimits _{\mathbb {R}^N \times \mathbb {R}^N} \frac{|u(x)|^p\,|u(y)|^p}{|x - y|^{N-\alpha }} dx\, dy\\ &\quad \leqslant C{\left(\int _{{\mathbb {R}}^N}|u|^2 dx\right)}^{p\theta } {\
Damiano Greco +3 more
wiley +1 more source
Asymptotics of the Gauss hypergeometric function with large parameters, I
, 2013 . We obtain asymptotic expansions by application of the method of steepest descents for the Gauss hypergeometric function as | λ | → ∞ when 0 < ε 1 < 1 and ε 1 > 1 where, without loss of generality, it is supposed that ε 1 (cid:2) ε 2 .
R. Paris
semanticscholar +1 more source
Improved Aftershock Forecasts Using Mainshock Information in the Framework of the ETAS Model
Journal of Geophysical Research: Solid Earth, Volume 130, Issue 2, February 2025.Abstract The Epidemic Type Aftershock Sequence (ETAS) model is the most widely used and powerful statistical model for aftershock forecasting. While the distribution of aftershocks around the mainshock is anisotropic, the spatial probability density function of the ETAS model is commonly assumed to be isotropic due to insufficient information.
Behnam M. Asayesh +2 more
wiley +1 more source
Mathematics, 2019 Very recently, the incomplete Pochhammer ratios were defined in terms of the incomplete beta function B y ( x , z ) . With the help of these incomplete Pochhammer ratios, we introduce new incomplete Gauss, confluent hypergeometric, and Appell&#
Mehmet Ali Özarslan, Ceren Ustaoğlu
doaj +1 more source
Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.The Fractional Power Series Method (FPSM) is an effective and efficient method that offers an analytic method to find exact solution for Fractional Partial Differential Equations (FPDEs) in a functional space. In recent time, the FPSM has been applied in various science and engineering fields to solve physical problems in areas such as fluid dynamics ...
Isaac Addai +4 more
wiley +1 more source
Some $k$-Horn hypergeometric functions and their properties
Journal 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
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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 +4 more
wiley +1 more source
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
doaj +1 more source
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 +2 more
wiley +1 more source