Results 51 to 60 of about 6,510,130 (173)
Class of Integrals Involving Generalized Hypergeometric Function [PDF]
, 2020 In this paper, we establish some definite integrals involving generalized hypergeometric function, product of algebraic functions, Jacobi function, Legendre function and general class of polynomials.
Amsalu, Hafte +3 more
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Fractional Integration and Differentiation of the Generalized Mathieu Series
Axioms, 2017 We aim to present some formulas for the Saigo hypergeometric fractional integral and differential operators involving the generalized Mathieu series S μ ( r ) , which are expressed in terms of the Hadamard product of the generalized Mathieu ...
Ram K. Saxena, Rakesh K. Parmar
doaj +1 more source
Ecology Letters, Volume 29, Issue 5, May 2026.Using high‐resolution spatial data and a multi‐scale statistical framework, we disentangle plant co‐occurrence from true spatial associations across alpine communities in the French Alps. We discovered that local species associations are dependent on soil acidity and nitrogen rather than temperature. By building a global network from these associations,
Matthias Rohr +7 more
wiley +1 more source
Certain Unified Integrals Involving a Multivariate Mittag–Leffler Function
Axioms, 2021 A remarkably large number of unified integrals involving the Mittag–Leffler function have been presented. Here, with the same technique as Choi and Agarwal, we propose the establishment of two generalized integral formulas involving a multivariate ...
Shilpi Jain +3 more
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Dark diversity in temperate forests of northeastern China: drivers and implications
Oikos, Volume 2026, Issue 1, January 2026.Understanding the species composition of a community, including those species present and those absent but potentially able to occur, is vital for assessing biodiversity changes and informing conservation planning. Typically, studies focus on observed taxonomic diversity but ignore undetected species expected to be present based on co‐occurrence ...
Wushuang Li +7 more
wiley +1 more source
Genetic Allee Effects for Controlling Invasive Populations
Molecular Ecology, Volume 35, Issue 1, January 2026.ABSTRACT Invasive pests threaten food security and devastate ecosystems. A universal problem in their management is that small populations can easily evade detection. This makes identifying new incursions challenging and complicates efforts to eradicate or contain established populations.
Louis Nowell Nicolle +3 more
wiley +1 more source
Some Relations on the rRs(P,Q,z) Matrix Function
Axioms, 2023 In this paper, we derive some classical and fractional properties of the rRs matrix function by using the Hilfer fractional operator. The theory of special matrix functions is the theory of those matrices that correspond to special matrix functions such ...
Ayman Shehata +2 more
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, 2020 In this article, the k-fractional-order integral and derivative operators including the k-hypergeometric function in the kernel are used for the k-Wright function; the results are presented for the k-Wright function.
D. L. Suthar
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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 Review of Certain Modern Special Functions and Their Applications
Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.This review article comprehensively analyzes recent developments in the generalization of special functions (SFs) and polynomials via various fractional calculus operators (FCOs), focusing on the analytical properties and applications of extended Hurwitz–Lerch zeta, Wright, and hypergeometric functions.
Hala Abd Elmageed +2 more
wiley +1 more source