Results 11 to 20 of about 21,843 (120)

Recurrence Relations for the Moments of Minimum Order Statistics from Exponential Distribution

Cumhuriyet Science Journal, 2019
Inthis paper, certain recurrence relations for themoments of minimum order statistics of a random sample of size n arising from exponential distributionare obtained.
Muhammet Bekçı
doaj   +1 more source

On some hypergeometric Sobolev orthogonal polynomials with several continuous parameters

Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2023
In this paper we study the following hypergeometric polynomials: $$ \mathcal{P}_n(x) = \mathcal{P}_n(x;\alpha,\beta,\delta_1, \dots,\delta_\rho,\kappa_1,\dots,\kappa_\rho) = $$ $$ = {}_{\rho+2} F_{\rho+1} (-n,n+\alpha+\beta+1,\delta_1+1, \dots,\delta_ ...
Sergey Zagorodnyuk
doaj   +1 more source

Discatenated and lacunary recurrences [PDF]

Notes on Number Theory and Discrete Mathematics
Recursive sequences with gaps have been studied previously. This paper considers some elementary properties of such sequences where the gaps have been created on a regular basis from sequence to sequence – ‘discatenated’ (systematic gaps) and ‘lacunary’
Hakan Akkuş, Ömür Deveci, Engin Özkan, Anthony G. Shannon   +3 more
doaj   +1 more source

Some fundamental Fibonacci number congruences [PDF]

Notes on Number Theory and Discrete Mathematics
This paper investigates a number of congruence properties related to the coefficients of a generalized Fibonacci polynomial. This polynomial was defined to produce properties comparable with those of the standard polynomials of some special functions ...
Anthony G. Shannon, Tian-Xiao He, Peter J.-S. Shiue, Shen C. Huang   +3 more
doaj   +1 more source

Recurrence Relations Between Moment Generating Function of Order Statistics for Doubly Truncated Continuous Distributions [PDF]

The Egyptian Statistical Journal, 1992
We derive some results for obtaining recurrence relations between moment generating functions of order statistics and recurrence relations between moment generating functions of the sum of two order statistics.
Mohie-El Din M., Mahmoud M. A. W., Abu-Youssef S. E.   +2 more
doaj   +1 more source

Jacobi–Perron Algorithm and Recurrence Relations

Mathematics
This paper explores connections between multidimensional continued fractions, specifically the Jacobi–Perron algorithm, and generalized Fibonacci and Lucas sequences of arbitrary order r.
Carlos M. da Fonseca, Engin Özkan, Anthony G. Shannon   +2 more
doaj   +1 more source

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
doaj   +1 more source

Approximation for the Ratios of the Confluent Hypergeometric Function ${\mathbf{\Phi }}_{\mathit{D}}^{\mathbf{\left(}\mathit{N}\mathbf{\right)}}$ by the Branched Continued Fractions

Axioms, 2022
The paper deals with the problem of expansion of the ratios of the confluent hypergeometric function of N variables ΦD(N)(a,b¯;c;z¯) into the branched continued fractions (BCF) of the general form with N branches of branching and investigates the ...
Tamara Antonova, Roman Dmytryshyn, Roman Kurka   +2 more
doaj   +1 more source

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
doaj   +1 more source

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.
doaj   +1 more source