Results 51 to 60 of about 60,960 (218)
Mathematics, 2016 In a series of papers, we discussed the solution of Laplace’s differential equation (DE) by using fractional calculus, operational calculus in the framework of distribution theory, and Laplace transform.
Tohru Morita, Ken-ichi Sato
doaj +1 more source
Advanced Science, EarlyView.Integrated multi‐omic profiling maps the gene‐regulatory landscape of the coelomic mesothelium across heart, lung, and pancreas. A cardiac‐restricted regulatory program is uncovered in which TBX20 activates heart mesothelial (epicardial) cis‐regulatory elements, while MAF emerges as a conserved regulator of mesothelial identity.
Quang Minh Dang +3 more
wiley +1 more source
A Note on Wright-type Generalized q-hypergeometric Function
Известия Иркутского государственного университета: Серия "Математика"In 2001, Virchenko et al. published a paper on a new generalization of Gauss hypergeometric function, namely Wright-type generalized hypergeometric function. Present work aims to define the q-analogue generalized hypergeometric function, which reduces to
K. K. Chaudhary, S. B. Rao
doaj +1 more source
Advances in High Energy Physics, 2018 We examine the expansions of the solutions of the general Heun equation in terms of the Gauss hypergeometric functions. We present several expansions using functions, the forms of which differ from those applied before.
T. A. Ishkhanyan +2 more
doaj +1 more source
On Matrices Arising in the Finite Field Analogue of Euler’s Integral Transform
Mathematics, 2013 In his 1984 Ph.D. thesis, J. Greene defined an analogue of the Euler integral transform for finite field hypergeometric series. Here we consider a special family of matrices which arise naturally in the study of this transform and prove a conjecture of ...
Michael Griffin, Larry Rolen
doaj +1 more source
Resolution of an Isolated Case of a Quadratic Hypergeometric 2F1 Transformation
Axioms, 2022 The identity 2F1(α,β;2α;z)=(1−z2)−β2F1(β2,β+12;α+12;(z2−z)2) given, either by I.S. Gradshteyn and I.M. Ryzhik in Table of integrals series and products named 9.134 or in the handbook “mathematical functions with formulas, graphs and mathematical tables ...
Mohamed Jalel Atia
doaj +1 more source
Gaussian Hypergeometric series and supercongruences [PDF]
Mathematics of Computation, 2009 Let p be an odd prime. In 1984, Greene introduced the notion of hypergeometric functions over finite fields. Special values of these functions have been of interest as they are related to the number of F_p points on algebraic varieties and to Fourier coefficients of modular forms.
Osburn, Robert, Schneider, Carsten
openaire +5 more sources
Advanced Science, EarlyView.This study constructed the first spatiotemporal multi‐omics map of peach fruit and discovered a key candidate gene that synergistically regulates trichome development and drought tolerance through the jasmonic acid signaling pathway, providing insights into the coupling mechanism between development and stress resistance.
Zhixin Liu +9 more
wiley +1 more source
A note on a hypergeometric transformation formula due to Slater with an application [PDF]
, 2014 In this note we state (with minor corrections) and give an alternative proof of a very general hypergeometric transformation formula due to Slater. As an application, we obtain a new hypergeometric transformation formula for a 5F4(−1) series with one ...
Kim, Y. S., Paris, R. B., Rathie, A. K.
core +2 more sources
Advanced Science, EarlyView.Accurate prediction of early recurrence in pancreatic ductal adenocarcinoma is vital for optimizing treatment. A novel, integrated radiomics‐pathology machine learning model successfully forecasts recurrence risks by analyzing preoperative CT images and computational pathology.
Sihang Cheng +17 more
wiley +1 more source