Results 121 to 130 of about 60,471 (199)

Generalization of Bateman Polynomials

International Journal of Analysis and Applications, 2019
In this paper, generalize the Bateman polynomials in terms of generalized hypergeometric function of the type pFp. Establish different forms of extended polynomials such as series expansion, generating functions and recurrence relations.
Asad Ali, Muhammad Zafar Iqbal, Bilal Anwer, Ather Mehmood   +3 more
doaj  

Factorization of Basic Hypergeometric Series

Symmetry, Integrability and Geometry: Methods and Applications
The general problem of the factorization of a basic hypergeometric series is presented and discussed. The case of the general $_2\psi_2$ series is examined in detail. Connections are found with the theory of basic hypergeometric series on root systems. Alternative proofs of several well-known summation and transformation formulae, including Gustafson's
openaire   +2 more sources

A note on a generalized double series. [PDF]

PLoS One
Reynolds R.
europepmc   +1 more source

Explicit minimisers for anisotropic Riesz energies. [PDF]

Calc Var Partial Differ Equ
Frank RL, Mateu J, Mora MG, Rondi L, Scardia L, Verdera J.   +5 more
europepmc   +1 more source

Assessing spatial variability in observed infectious disease spread in a prospective time-space series. [PDF]

Int J Health Geogr
Wu CC, Chen CH, Wang SR, Shete S.
europepmc   +1 more source

Exact ODE Framework for Classical and Quantum Corrections for the Lennard-Jones Second Virial Coefficient. [PDF]

Entropy (Basel)
Zhao Z, González-Calderón A, Perera-Burgos JA, Estrada A, Hernández-Anguiano H, Martínez-Lázaro C, Li Y.   +6 more
europepmc   +1 more source

A new family of <i>q</i>-hypergeometric congruences from Andrews' multi-series transformation. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat
Guo VJW, Schlosser MJ.
europepmc   +1 more source

Effects of modified woods saxon potential on quantum dynamics of spin 0 scalar particle in a cosmic string spacetime. [PDF]

Sci Rep
Ahmed F, Bouzenada A.
europepmc   +1 more source

A remarkable basic hypergeometric identity. [PDF]

Ramanujan J
Krattenthaler C, Zudilin W.
europepmc   +1 more source

Analytic study and statistical enforcement of extended beta functions imposed by Mittag-Leffler and Hurwitz-Lerch Zeta functions. [PDF]

MethodsX
Abdulnabi FF, Al-Janaby HF, Ghanim F.
europepmc   +1 more source