Ramanujan-type integralsBeta integralsIn this paper we evaluate integrals of products of gamma functions of Ramanujan type in terms of bilateral hypergeometric series. In cases where the bilateral hypergeometric series are summable, then we evaluate these integral as beta integrals. In addition, we ...
The purpose of this article is to generalize his result to multiple integrals and to present a short new proof of this relation.doi:10.1080/00029890.2020.1815477Ulrich AbelVitaliy KushnirevychThe American Mathematical Monthly
Srivastava, H.M.Gordon and Breach Science PublishersIntegral Transforms & Special FunctionsA. Pinter and H.M. Srivastava, Some remarks on generalized elliptic-type integrals, Integral Transform. Spec. Funct. 7, n. 1-2 (1998) 167-170.
In this paper, we establish a new weighted Ostrowski-type inequality for double integrals involving functions of two independent variables by using fairly elementary analysis. Download references Author information Authors and Affiliations Faculty of Science and Arts, Department of Mathematics, Düzce Univer...
We study the properties of permutation invariance and isomorphism invariance of fuzzy quantifiers of type 〈1,1〉 defined using fuzzy measures and integrals. These properties hold if fuzzy quantifiers are invariant with respect to permutations (bijective mappings) on the universe of discourse (permutatio...
We study the properties of permutation invariance and isomorphism invariance of fuzzy quantifiers of type 〈1,1〉 defined using fuzzy measures and integrals. These properties hold if fuzzy quantifiers are invariant with respect to permutations (bijective mappings) on the universe of discourse (permutatio...
The template-specific options field is only used for integrals and fence templates: Integral template option field values: 0 fixed-size integral; 1 the integral expands vertically to fit its contents. Fence template option field values (fence alignment): 0 center fence on math ax...
Calculate integrals, solve linear equations, and run factorizations right on your Mac and without any need to be connected to the internet. Even more, you can visualize datasets and relationships between them in either 2D or 3D views. And if you don’t know how to type any math symbols, ...
In the present paper, we introduce the notions of - and -integrals of function, measurable on the real axis R and prove that the Cauchy-type integrals of a finite complex Borel measures on the upper and lower half-plane are Cauchy - and -integrals, respectively.Keywords: Finite complex ...
For 0<p<+∞ and real t, the weighted Lebesgue space Lp(Bn,dvt) (we denote it as Lp(Bn) when t=0) consists of measurable functions f on Bn such that||f||p,t=(∫Bn|f(z)|pdvt(z))1p<+∞, where dvt(z)=ct(1−|z|2)tdv(z), the constant ct=Γ(n+t+1)/n!Γ(t+1...