Results 101 to 110 of about 5,521 (197)

A q-analog of hypergeometric series well-poised in tSU(n) and invariant G-functions

, 1985
We introduce natural q-analogs of hypergeometric series well-poised in SU(n), the related hypergeometric series in U(n), and invariant G-functions. We prove that both the SU(n) multiple q-series and the invariant G-functions satisfy general q-difference ...
Milne, S.C
core   +1 more source

Some q-generating functions associated with basic multiple hypergeometric series

, 1994
The authors derive basic (or q-) extensions of certain generalized hypergeometric generating functions of H. M. Srivastava.
Rassias, Th.M., Singh, S.N., Srivastava, H.M.   +2 more
core   +1 more source

The Euler operator for basic hypergeometric series [PDF]

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

An Inequality for Basic Confluent Hypergeometric Series

, 2006
In this very short note we will derive an inequality for a class of entire functions including all the confluent basic hypergeometric series and an inequality for a class of meromorphic functions including theta functions.
openaire   +2 more sources

On Cranks of Partitions, Generalized Lambert Series, and Basic Hypergeometric Series

, 2005
In Chapters 4 and 5, we apply the same method used in Chapter 3 on basic hypergeometric series. In Chapter 4, we present a new proof of Ramanujan's 10, summation formula.
Chan, Song Heng
core  

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

Inference of causal interaction networks of gut microbiota using transfer entropy. [PDF]

BMC Genomics
Park C, Kim J, Lee J.
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  

Metabolic adaptation drives self-organization during skin organoid morphogenesis. [PDF]

Nat Commun
Jiang J, Liu W, Wang M, Wang D, Wu W, Zhang M, Zhou S, Xiao Y, Lin X, Xiang X, An W, Zhao H, Zhan R, Yang L, Cai K, Luo G, Chuong CM, Lei M.   +17 more
europepmc   +1 more source