Results 101 to 110 of about 6,972,539 (190)

An Upper Bound for a Basic Hypergeometric Series

, 1996
We show that if 0 x 2 q 1, then the basic hypergeometric series P n k=0 \Gamma n k \Delta q x k is bounded above by the product Q n\Gamma1 k=0 (1 + xq k=2 ).
Danny Krizanc, Evangelos Kranakis, Lefteris Kirousis   +2 more
core  

The Euler operator for basic hypergeometric series [PDF]

International Journal of Advances in Applied Mathematics and Mechanics, 2014
Mohammed A. Abdlhusein
doaj  

ELLIPTIC INTEGRABLE SYSTEMS SUMMATION, TRANSFORMATION, AND EXPANSION FORMULAS FOR MULTIBASIC THETA HYPERGEOMETRIC SERIES

, 2008
After reviewing some fundamental facts from the theory of theta hypergeometric series we derive, using indefinite summation, several summation, transformation, and expansion formulas for multibasic theta hypergeometric series.
Michael Schlosser, George Gasper
core  

Product formulas for basic hypergeometric series by evaluations of Askey-Wilson polynomials. [PDF]

Ramanujan J
Cohl HS, Schlosser MJ.
europepmc   +1 more source

On convergence of basic hypergeometric series

On convergence of basic hypergeometric series
We examine the convergence of q-hypergeometric series when |q| = 1. We give a condition so that the radius of the convergence is positive and get the radius. We also show that the numbers q with the positive radius of the convergence are densely distributed in the unit circle of the complex plane of q and so are those with the radius 0.
openaire   +1 more source

The Exact Hypergeometric Posterior Method for Accurate Inference of Population Size from Mark-Recapture Data. [PDF]

Bull Math Biol
Mirzaee D, Malekpour SA, Kalirad A.
europepmc   +1 more source

Single-cell profiling identifies obesity-disrupted brain glucose sensing. [PDF]

Nat Commun
Brown JM, Bentsen MA, Jørgensen AM, Nielsen TS, Belmont-Rausch DM, Selmanovic D, Dmytriyeva O, Kruse CH, Aalling NN, Schwalbe DC, Knights Møller O, Campbell JN, Secher A, Schwartz MW, Pers TH.   +14 more
europepmc   +1 more source

The distribution of the ratio of products of independent zero mean normal random variables. [PDF]

Metrika
Gaunt RE, Sutcliffe HL.
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

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