Results 81 to 90 of about 14,101,579 (209)

Generalized Gudermannian function

Issues of Analysis, 2018
Wilker and Huygens-type inequalities involving generalized Gudermannian function and its inverse function are established. These results are obtained with the aid of the p-version of the Schwab-Borchardt mean. Generalized one-parameter trigonometric and hyperbolic functions play a crucial role in this paper.
openaire   +2 more sources

On Generating Functions [PDF]

Proceedings of the Edinburgh Mathematical Society, 1930
It is well known that the polynomial in x,has the following properties:—(A) it is the coefficient of tn in the expansion of (1–2xt+t2)–½;(B) it satisfies the three-term recurrence relation(C) it is the solution of the second order differential equation(D) the sequence Pn(x) is orthogonal for the interval (— 1, 1),i.e.
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Generating function for q-Eulerian polynomials and their decomposition and applications

, 2013
The aim of this paper is to define a generating function for q-Eulerian polynomials and numbers attached to any character χ of the finite cyclic group G.
M. Alkan, Y. Simsek
semanticscholar   +1 more source

Long-Term Reserve Expansion of Power Systems With High Wind Power Penetration Using Universal Generating Function Methods

IEEE Transactions on Power Systems, 2011
In a power system with high wind power penetration, reliability-based reserve expansion is a major problem of system planning and operation due to the uncertainty and fast fluctuation of wind speeds.
Yi Ding, Peng Wang, L. Goel, P. Loh, Qiuwei Wu   +4 more
semanticscholar   +1 more source

Solving arbitrary one-loop reduction via generating function

European Physical Journal C: Particles and Fields
Recently, the concept of generating function has been employed in one-loop reduction. For one-loop integrals encompassing arbitrary tensor ranks and higher-pole contributions, the generating function can be decomposed into a tensor part and a higher-pole
Tingfei Li, Yuekai Song, Liang Zhang
doaj   +1 more source

Coherent state-based generating function approach for Franck–Condon transitions and beyond

, 2012
One-photon and multi-photon absorption, spontaneous and stimulated photon emission, resonance Raman scattering and electron transfer are important molecular processes that commonly involve combined vibrational-electronic (vibronic) transitions.
Joonsuk Huh, Robert Berger
semanticscholar   +1 more source

A generating function for generalized hypergeometric polynomial

Revista Técnica de la Facultad de Ingeniería, 2011
The object of the present paper is to establish a general expansion formula, which provides us a generating function for the generalized hypergeometric polynomials .
P. Munot, P. Padmanabham
doaj  

Enumeration of r-smooth words over a finite alphabet [PDF]

Discrete Mathematics Letters, 2023
Toufik Mansour, José L. Ramírez, Diego Villamizar   +2 more
doaj   +1 more source

A generating function for the number of permutations with an assigned number of sequences [PDF]

, 1897
Frank Morley
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On generalized pseudoconvex functions

Journal of Mathematical Analysis and Applications, 1989
AbstractIn this paper, the concept of pseudoconvexity is generalized in three different ways and the interrelation of them is investigated. For constrained optimization, sufficiency of Kuhn-Tucker optimality conditions is derived under some assumptions which do not require the generalized pseudoconvexity of the Lagrangian itself.
Masao Fukushima, Yoshihiro Tanaka, Toshihide Ibaraki   +2 more
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