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Certain Recurrence Relations of Two Parametric Mittag-Leffler Function and Their Application in Fractional Calculus

open access: yesFractal and Fractional, 2021
The purpose of this paper is to develop some new recurrence relations for the two parametric Mittag-Leffler function. Then, we consider some applications of those recurrence relations.
Dheerandra Shanker Sachan   +2 more
doaj   +2 more sources

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

open access: yesBMC Bioinformatics, 2018
The read length of single-molecule DNA sequencers is reaching 1 Mb. Popular alignment software tools widely used for analyzing such long reads often take advantage of single-instruction multiple-data (SIMD) operations to accelerate calculation of dynamic
Suzuki H, Kasahara M.
europepmc   +2 more sources

Recurrence relations satisfied by some arithmetic groups

open access: goldOpen 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   +2 more
doaj   +2 more sources

Nested Recurrence Relations with Conolly-like Solutions [PDF]

open access: greenSIAM Journal on Discrete Mathematics, 2012
A nondecreasing sequence of positive integers is $(\alpha,\beta)$-Conolly, or Conolly-like for short, if for every positive integer $m$ the number of times that $m$ occurs in the sequence is $\alpha + \beta r_m$, where $r_m$ is $1$ plus the 2-adic ...
Alejandro Erickson   +4 more
openalex   +3 more sources

Semilocal convergence by using recurrence relations for a fifth-order method in Banach spaces

open access: greenJournal of Computational and Applied Mathematics, 2014
Alicia Cordero   +3 more
openalex   +3 more sources

Three- and four-term recurrence relations for Horn's hypergeometric function $H_4$

open access: yesResearch in Mathematics, 2022
Three- and four-term recurrence relations for hypergeometric functions of the second order (such as hypergeometric functions of Appell, Horn, etc.) are the starting point for constructing branched continued fraction expansions of the ratios of these ...
R. Dmytryshyn, I.-A.V. Lutsiv
semanticscholar   +1 more source

Dynaplex: analyzing program complexity using dynamically inferred recurrence relations

open access: yesProc. ACM Program. Lang., 2021
Being able to detect program runtime complexity is useful in many tasks (e.g., checking expected performance and identifying potential security vulnerabilities).
Didier Ishimwe   +2 more
semanticscholar   +1 more source

On Determinantal recurrence relations of banded matrices

open access: yesKuwait Journal of Science, 2021
We provide an algorithm based on a less-known result about recurrence relations for the determinants of banded matrices. As a consequence, we prove recent conjectures on the determinants of particular classes of pentadiagonal matrices and simple ...
Zhibin Du   +2 more
doaj   +1 more source

On some hypergeometric Sobolev orthogonal polynomials with several continuous parameters

open access: yesVisnik 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

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