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

Fractal 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, Shailesh Jaloree, Junesang Choi   +2 more
doaj   +2 more sources

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

BMC 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

Relativistic Kramers-Pasternack Recurrence Relations [PDF]

, 2009
Recently we have evaluated the matrix elements $$,$ where $O$ $={1,\beta, i\mathbf{\alpha n}\beta} $ are the standard Dirac matrix operators and the angular brackets denote the quantum-mechanical average for the relativistic Coulomb problem, in terms of ...
Andrae D, Askey R A, Atakishyev N M, Bailey W N, Baz A I, Bethe H A, Blanchard P, Cordero-Soto R Suslov S K, Ding Yi-B, Erdélyi A, Gumberidze A, Karlin S, Karshenboim S G, Karshenboim S G, Koekoek R Swarttouw R F, Kramers H A, Kramers H A, Landau L D, Liboff R L, Messiah A, More R M, Moreno B, Nikiforov A F, Nikiforov A F, Núñez-Yépez H N, Ojha P C, Pasternack S, Perelomov A M, Qiang W-C, Sergei K Suslov, Shabaev V M, Shabaev V M, Shabaev V M, Shabaev V M, Shabaev V M, Suslov S K, Swainson R A, Tchebychef P L, Tchebychef P L, Tchebychef P L, Tchebychef P L, Tchebychef P L, Tchebychef P L   +42 more
core   +2 more sources

Solving Lauricella String Scattering Amplitudes through Recurrence Relations [PDF]

, 2017
We show that there exist infinite number of recurrence relations valid for all energies among the open bosonic string scattering amplitudes (SSA) of three tachyons and one arbitrary string state, or the Lauricella SSA.
Lai, Sheng-Hong, Lee, Jen-Chi, Lee, Taejin, Yang, Yi   +3 more
core   +2 more sources

Recurrence Relations of the Multi-Indexed Orthogonal Polynomials : III [PDF]

, 2016
In a previous paper, we presented conjectures of the recurrence relations with constant coefficients for the multi-indexed orthogonal polynomials of Laguerre, Jacobi, Wilson and Askey-Wilson types.
Odake, Satoru
core   +5 more sources

Nested Recurrence Relations with Conolly-like Solutions [PDF]

SIAM 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, Abraham Isgur, Bradley W. Jackson, Frank Ruskey, Stephen M. Tanny   +4 more
openalex   +3 more sources

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
doaj   +2 more sources

QED amplitudes: recurrence relations to all orders

, 2006
We describe the origins of recurrence relations between field theory amplitudes in terms of the construction of Feynman diagrams. In application we derive recurrence relations for the amplitudes of QED which hold to all loop orders and for all ...
Anton Ilderton, Bedford, Bedford, Bern, Brandhuber, Britto, Carlip, Kim, Mansfield, Ozeren, Polyakov   +10 more
core   +2 more sources

PED and POD partitions: combinatorial proofs of recurrence relations [PDF]

Discrete Mathematics, 2023
Cristina Ballantine, Amanda Welch
openalex   +3 more sources

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

Journal of Computational and Applied Mathematics, 2014
Alicia Cordero, M.A. Hernández, Natalia Romero, Juan R. Torregrosa   +3 more
openalex   +3 more sources