Results 101 to 110 of about 5,795,833 (227)

A τ-Deformation of the Basic Horn Function H3 in q-Calculus

Journal of Function Spaces
Motivated by the growing literature on basic (or q-) Horn-type series in quantum calculus and by τ-extensions of hypergeometric functions, we introduce a generalized basic τ-confluent Horn hypergeometric function H3.
Maryam G. Alshehri, Oğuz Yağcı, Nada Mostafa, Ayman Shehata   +3 more
doaj   +1 more source

Evaluation of Certain Definite Integrals Involving Generalized Hypergeometric Functions

Axioms
In 2012, Chu investigated the generalization of classical Watson–Whipple–Dixon summation theorems in the form of analytical formulas. By employing four generalized Watson summation formulas, the objective of this paper is to evaluate a new class of ...
Prathima Jayarama, Dongkyu Lim, Arjun K. Rathie, Adem Kilicman   +3 more
doaj   +1 more source

Subclasses of analytic functions associated with the generalized hypergeometric function [PDF]

, 2009
Using the generalized hypergeometric function, we study a class Φkp(q,s;A,B,λ) of analytic functions with negative coefficients. Coefficient estimates, distortion theorem, extreme points and the radii of close-to-convexity and convexity for this class ...
Aouf, M.K., Darwish, H.E.
core   +1 more source

Rational reduction of a sorghum SynCom that preserves growth promotion reveals flavonoid‐mediated plant–microbe interactions

New Phytologist, Volume 251, Issue 6, Page 3507-3521, September 2026.
Synthetic community complexity reduction designs. Summary Plant growth is influenced by the composition of its associated microbiome. The inherent complexity and functional redundancy of natural plant microbiomes present a formidable barrier to understanding the myriad biological interactions therein.
Dean Pettinga, Citlali Fonseca‐García, Genevieve Krause, Hannah Ploemacher, Travis Wheeler, Chaevien S. Clendinen, Pubudu Handakumbura, Robert Egbert, Devin Coleman‐Derr   +8 more
wiley   +1 more source

A Bayesian Model for Estimation of Virus Reduction in Potable Reuse Treatment Trains and Quantitative Microbial Risk Assessment of Waterborne Viral Pathogens

Risk Analysis, Volume 46, Issue 9, September 2026.
ABSTRACT Understanding virus occurrence and reduction at advanced treatment facilities for potable water reuse constitutes a high‐priority research need to protect human health and to enhance available water supply alternatives. The objectives were to (1) determine log reduction values (LRVs) of 15 viruses by advanced wastewater treatment; (2) evaluate
Jack F. Schijven, Peter F. M. Teunis, Walter Q. Betancourt   +2 more
wiley   +1 more source

Edge Density Expansions for the Classical Gaussian and Laguerre Ensembles

Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.
ABSTRACT Recent work of Bornemann has uncovered hitherto hidden integrable structures relating to the asymptotic expansion of quantities at the soft edge of the Gaussian and Laguerre random matrix ensembles. These quantities are spacing distributions and the eigenvalue density, and the findings cover the cases of the three symmetry classes: orthogonal,
Peter J. Forrester, Anas A. Rahman, Bo‐Jian Shen   +2 more
wiley   +1 more source

Messenger RNA From Canine Cytology Lymph Node Specimens Can Be Utilised for Gene Expression Profiling Using Digital RNA Counting

Veterinary and Comparative Oncology, Volume 24, Issue 3, Page 568-577, September 2026.
ABSTRACT Gene expression profiling (GEP) is being used with increasing frequency to characterise canine tumours, but canine samples are often not collected in a medium to preserve RNA. Cytology samples from human tumours have been shown to provide adequate RNA for GEP using NanoString nCounter technology, suggesting a similar approach might be viable ...
McKenzie Olsen, Emily Rout, Kelly Hughes, Janna Yoshimoto, Anne Avery, R. Adam Harris   +5 more
wiley   +1 more source

Certain Integrals of Generalized Hypergeometric and Confuent Hypergeometric Functions [PDF]

, 2017
In this paper, we aim at establishing certain finite integral formulas for the generalized Gauss hypergeometric and confluent hypergeometric functions. Furthermore, the$F^{(\alpha ,\beta)}_p(a,b;c;z)$-function occurring in each of our main results can be
Kumar, Dinesh
core   +1 more source

Integrals involving the homogeneous generalized hypergeometric function and multivariable Aleph-function

, 2021
Link to publisher's homepage at https://amci.unimap.edu.my/Recently, T two finite integrals involving the homogeneous hypergeometric function and the modified multivariable H function have been evaluated.
Frédéric, Ayant, Alok, Bhargava
core  

ON CONTIGUITY RELATIONS FOR GENERALIZED HYPERGEOMETRIC FUNCTIONS

Issues of Analysis, 2018
Summary: We derive formulas that generalize contiguity relations of Gauss hypergeometric functions to the case of hypergeometric functions satisfying differential equations of arbitrary order and also of solution matrices of their corresponding homogeneous differential equations.
openaire   +3 more sources