scholarly journals New integral formulas and identities involving special numbers and functions derived from certain class of special combinatorial sums

2021 ◽  
Vol 115 (2) ◽  
Author(s):  
Yilmaz Simsek
Keyword(s):  
Integral Formulas ◽  
Combinatorial Sums

scholarly journals Certain Unified Integrals Involving a Multivariate Mittag–Leffler Function

Axioms ◽  
2021 ◽  
Vol 10 (2) ◽  
pp. 81
Author(s):  
Shilpi Jain ◽  
Ravi P. Agarwal ◽  
Praveen Agarwal ◽  
Prakash Singh
Keyword(s):  
Integral Formulas ◽  
Special Cases

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 generalized Mittag–Leffler function, which are expressed in terms of the generalized Lauricella series due to Srivastava and Daoust. We also present some interesting special cases.

scholarly journals Some Properties of the(p,q)-Fibonacci and(p,q)-Lucas Polynomials

2012 ◽  
Vol 2012 ◽  
pp. 1-18 ◽  
Author(s):  
GwangYeon Lee ◽  
Mustafa Asci
Keyword(s):  
Generating Functions ◽  
Combinatorial Identities ◽  
Fibonacci Polynomials ◽  
Lucas Polynomials ◽  
Pascal Matrix ◽  
Riordan Arrays ◽  
Combinatorial Sums

Riordan arrays are useful for solving the combinatorial sums by the help of generating functions. Many theorems can be easily proved by Riordan arrays. In this paper we consider the Pascal matrix and define a new generalization of Fibonacci polynomials called(p,q)-Fibonacci polynomials. We obtain combinatorial identities and by using Riordan method we get factorizations of Pascal matrix involving(p,q)-Fibonacci polynomials.

scholarly journals Homogeneous star products and closed integral formulas

2010 ◽  
Vol 62 (4) ◽  
pp. 559-573
Author(s):  
Khaled Tounsi
Keyword(s):  
Star Products ◽  
Integral Formulas

Spherical integral formulas for upward/downward continuation of gravitational gradients onto gravitational gradients

2013 ◽  
Vol 88 (2) ◽  
pp. 179-197 ◽  
Author(s):  
Michal Šprlák ◽  
Josef Sebera ◽  
Miloš Val’ko ◽  
Pavel Novák
Keyword(s):  
Downward Continuation ◽  
Integral Formulas ◽  
Gravitational Gradients

Green's integral formulas in magnetohydrodynamics

Meccanica ◽  
1966 ◽  
Vol 1 (3-4) ◽  
pp. 3-17
Author(s):  
Cataldo Agostinelli
Keyword(s):  
Integral Formulas

Some Integral Formulas

1949 ◽  
Vol 56 (1) ◽  
pp. 27
Author(s):  
H. W. Smith
Keyword(s):  
Integral Formulas

scholarly journals The volume of a compact hyperbolic antiprism

2018 ◽  
Vol 27 (13) ◽  
pp. 1842010
Author(s):  
Nikolay Abrosimov ◽  
Bao Vuong
Keyword(s):  
Symmetry Group ◽  
Hyperbolic Space ◽  
Convex Polyhedron ◽  
Rotational Symmetry ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Dihedral Angles ◽  
Integral Formulas ◽  
Necessary And Sufficient

We consider a compact hyperbolic antiprism. It is a convex polyhedron with [Formula: see text] vertices in the hyperbolic space [Formula: see text]. This polyhedron has a symmetry group [Formula: see text] generated by a mirror-rotational symmetry of order [Formula: see text], i.e. rotation to the angle [Formula: see text] followed by a reflection. We establish necessary and sufficient conditions for the existence of such polyhedra in [Formula: see text]. Then we find relations between their dihedral angles and edge lengths in the form of a cosine rule. Finally, we obtain exact integral formulas expressing the volume of a hyperbolic antiprism in terms of the edge lengths.

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