Results 41 to 50 of about 21,843 (120)

On Mersenne Numbers and their Bihyperbolic Generalizations

Annales Mathematicae Silesianae
In this paper, we introduce Mersenne and Mersenne–Lucas bihyperbolic numbers, i.e. bihyperbolic numbers whose coefficients are consecutive Mersenne and Mersenne–Lucas numbers.
Bród Dorota, Szynal-Liana Anetta
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INEQUALITIES FOR SOME SPECIAL FUNCTIONS

Ratio Mathematica, 1992
The present paper is expository. We give a survey of some simple methods for finding bounds for some special functions. Our results are based on the recurrence relations satisfied by these functions and on some integral representations.
Andrea La Forgia
doaj  

A matrix formulation of Frobenius power series solutions using products of 4X4 matrices

Electronic Journal of Differential Equations, 2015
In Coddington and Levison [7, p. 119, Thm. 4.1] and Balser [4, p. 18-19, Thm. 5], matrix formulations of Frobenius theory, near a regular singular point, are given using 2X2 matrix recurrence relations yielding fundamental matrices consisting of two ...
Jeremy Mandelkern
doaj  

On a Family of 2-Variable Orthogonal Krawtchouk Polynomials

Symmetry, Integrability and Geometry: Methods and Applications, 2010
We give a hypergeometric proof involving a family of 2-variable Krawtchouk polynomials that were obtained earlier by Hoare and Rahman [SIGMA 4 (2008), 089, 18 pages] as a limit of the 9−j symbols of quantum angular momentum theory, and shown to be ...
F. Alberto Grünbaum, Mizan Rahman
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Skew-Symmetric Generalized Normal and Generalized t Distributions

Axioms
In this paper, we introduce the skew-symmetric generalized normal and the skew-symmetric generalized t distributions, which are skewed extensions of symmetric special cases of generalized skew-normal and generalized skew-t distributions, respectively. We
Najmeh Nakhaei Rad, Mahdi Salehi, Yaser Mehrali, Ding-Geng Chen   +3 more
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Several Characterizations of the Generalized 1-Parameter 3-Variable Hermite Polynomials

Mathematics
This paper presents a novel framework for introducing generalized 1-parameter 3-variable Hermite polynomials. These polynomials are characterized through generating functions and series definitions, elucidating their fundamental properties.
Shahid Ahmad Wani, Khalil Hadi Hakami, Hamad Zogan   +2 more
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Identities and recurrence relations of special numbers and polynomials of higher order by analysis of their generating functions. [PDF]

J Inequal Appl, 2018
Simsek Y, Kim D.
europepmc   +1 more source

Introducing difference recurrence relations for faster semi-global alignment of long sequences. [PDF]

BMC Bioinformatics, 2018
Suzuki H, Kasahara M.
europepmc   +1 more source

On a New Generalization of Pell Hybrid Numbers

Annales Mathematicae Silesianae
In this paper, we define and study a new one-parameter generalization of the Pell hybrid numbers. Based on the definition of r-Pell numbers, we define the r-Pell hybrid numbers.
Bród Dorota, Szynal-Liana Anetta, Włoch Iwona   +2 more
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Recurrence relations for orthogonal polynomials for PDEs in polar and cylindrical geometries. [PDF]

Springerplus, 2016
Richardson M, Lambers JV.
europepmc   +1 more source