Results 41 to 50 of about 20,849 (161)

n-Color partitions with weighted differences equal to minus two

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
In this paper we study those n-color partitions of Agarwal and Andrews, 1987, in which each pair of parts has weighted difference equal to −2 Results obtained in this paper for these partitions include several combinatorial identities, recurrence ...
A. K. Agarwal, R. Balasubrananian
doaj   +1 more source

Third order convergence theorem for a family of Newton like methods in Banach space

open access: yesJournal of Numerical Analysis and Approximation Theory, 2014
In this paper, we propose a family of Newton-like methods in Banach space which includes some well known third-order methods as particular cases. We establish the Newton-Kantorovich type convergence theorem for a proposed family and get an error estimate.
Tugal Zhanlav, Dorjgotov Khongorzul
doaj  

Discovering New Recurrence Relations for Stirling Numbers: Leveraging a Poisson Expectation Identity for Higher-Order Moments

open access: yesAxioms
This paper establishes two novel recurrence relations for Stirling numbers of the second kind—an L recurrence and a vertical recurrence—discovered through a probabilistic analysis of Poisson higher-order origin moments.
Ying-Ying Zhang, Dong-Dong Pan
doaj   +1 more source

Exact Formula for Computing the Hyper-Wiener Index on Rows of Unit Cells of the Face-Centred Cubic Lattice

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
Similarly to Wiener index, hyper-Wiener index of a connected graph is a widely applied topological index measuring the compactness of the structure described by the given graph. Hyper-Wiener index is the sum of the distances plus the squares of distances
Mujahed Hamzeh, Nagy Benedek
doaj   +1 more source

Recurrence Relations for Moment Generating Function of Progressive First Failure Censoring and Characterizations of Right Truncated Exponential Distribution [PDF]

open access: yesERU Research Journal
In this paper, we establish several recurrence relations satisfiedby the single and product moment generating function of progressive first failure censoring from an right truncated exponential distribution. These relations may then be used, for example,
Ali Sharawy
doaj   +1 more source

On Mersenne Numbers and their Bihyperbolic Generalizations

open access: yesAnnales 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
doaj   +1 more source

On a Family of 2-Variable Orthogonal Krawtchouk Polynomials

open access: yesSymmetry, 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
doaj   +1 more source

INEQUALITIES FOR SOME SPECIAL FUNCTIONS

open access: yesRatio 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  

Skew-Symmetric Generalized Normal and Generalized t Distributions

open access: yesAxioms
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   +3 more
doaj   +1 more source

Several Characterizations of the Generalized 1-Parameter 3-Variable Hermite Polynomials

open access: yesMathematics
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   +2 more
doaj   +1 more source

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