Results 21 to 30 of about 20,849 (161)

On ̄h-Jacobsthal and ̄h-Jacobsthal–Lucas sequences, and related quaternions

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper, inspired by recent articles of A. Szynal-Liana & I. Włoch and F. T. Aydin & S. Yüce (see [26] and [2]), we will introduce the ̄h-Jacobsthal quaternions and the ̄h-Jacobsthal–Lucas sequences and their associated quaternions. The new results
Anatriello Giuseppina, Vincenzi Giovanni
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Fermatian row and column sums as a family of generalized integers [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, we introduce some feature of the Fermatian numbers. The finite sum formulas of these numbers is calculate. The exponential generating function of Fermatian numbers is found and some of its identities is calculated.
Anthony G. Shannon, Mine Uysal, Engin Özkan   +2 more
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Sobolev-Orthonormal System of Functions Generated by the System of Laguerre Functions

Проблемы анализа, 2019
We consider the system of functions λ α r,n (x) (r ∈ N, n = 0, 1, 2, . . .), orthonormal respect to the Sobolev-type inner product f, g = Σ r-1 ν=0 f (υ) (0) g (υ) (0)+ I ∞ 0 f (r) (x) g (r) (x) dx and generated by the orthonormal Laguerre functions. The
Gadzhimirzaev R. M.
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Recurrence relations for higher moments of order statistics from doubly truncated Burr distribution

Statistica, 2014
In this paper, we have obtained recurrence relations for higher moments of order statistics from doubly truncated Burr distribution, which enable one to obtain all the single, double (product) and higher moments of any order of all order statistics for ...
Narinder Pushkarna, Jagish Saran, Rashmi Tiwari   +2 more
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Recurrence relations satisfied by some arithmetic groups

Open Mathematics
Recently, recurrence relations satisfied by the modular traces of the Hauptmodul for Γ0(N){\Gamma }_{0}\left(N) of genus zero have been established. However, these relations do not determine all values of the modular traces.
Kang Hee Doo, Kim Chang Heon, Min Kyeong Seok   +2 more
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The Entropy of Progressively Censored Samples

Entropy, 2011
In many life-testing and reliability studies, the experimenter might not always obtain complete information on failure times for all experimental units.
Z. A. Abo-Eleneen
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A converse of Sturm's separation theorem

Electronic Journal of Qualitative Theory of Differential Equations, 2021
We show that Sturm's classical separation theorem on the interlacing of the zeros of linearly independent solutions of real second order two-term ordinary differential equations necessarily fails in the presence of a turning point in the principal part ...
Leila Gholizadeh, Angelo Mingarelli
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On the Two-Variable Analogue Matrix of Bessel Polynomials and Their Properties

Axioms
In this paper, we explore a study focused on a two-variable extension of matrix Bessel polynomials. We initiate the discussion by introducing the matrix Bessel polynomials involving two variables and derive specific differential formulas and recurrence ...
Ahmed Bakhet, Shahid Hussain, Mohamed Niyaz, Mohammed Zakarya, Ghada AlNemer   +4 more
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Relations for Moments of Dual Generalized Order Statistics from Exponentiated Rayleigh Distribution and Associated Inference

Journal of Statistical Theory and Applications (JSTA), 2019
In this paper we obtain exact expressions and some recurrence relations satisfied by single and product moments of dual generalized order statistics from exponentiated Rayleigh distribution. These relations are deduced for moments of order statistics and
M. A. Khan, R. U. Khan, B. Singh
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Identities in the spirit of Euler

Extracta Mathematicae, 2020
In this paper we develop new identities in the spirit of Euler. We shall investigate and report on new Euler identities of weight p + 2, for p an odd integer, but with a non unitary argument of the harmonic numbers.
A. Sofo
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