Results 191 to 200 of about 278,807 (229)
Some of the next articles are maybe not open access.
The integration of generalized hypergeometric functions
Mathematical Proceedings of the Cambridge Philosophical Society, 1966In the usual notation for generalized hypergeometric functions we letwhereand (a) denotes the sequence of parametersThroughout the present paper we shall suppose that there are A of the a parameters, Bof the b parameters, and so on. Thus ((a))m is to be interpreted asand similar interpretations hold for ((b))m, etc.
openaire +2 more sources
On confluent hypergeometric functions and generalized Bessel functions
Analysis Mathematica, 2017Conditions are determined on the parameters a and c so that the confluent hypergeometric function Φ(a, c; z) = 1F1(a, c; z) is strongly convex of order 1/2 and the function zΦ(a, c; z) is strongly starlike of order 1/2 in D. Also sufficient conditions are obtained on a and c which ensure that the subordination (c/a)Φ′(a, c; z) ≺ ((1 + z)/(1 − z))1/2 ...
V. Ravichandran, Nisha Bohra
openaire +2 more sources
GENERALIZED HYPERGEOMETRIC FUNCTIONS [PDF]
openaire +3 more sources
The integration of generalized hypergeometric functions
Mathematical Proceedings of the Cambridge Philosophical Society, 1969Let the generalized hypergeometric function of one variable be denoted bywhere (a)m is the Pochhammer symbol ((1, 3)).
openaire +2 more sources
Generalized Hypergeometric Functions
Mathematics of Computation, 1966Y. L. L., Lucy Joan Slater
openaire +2 more sources
Confluence expansions of the generalized hypergeometric function
Journal of Mathematical Physics, 2003By confluencing a subset of upper and lower parameters in the generalized hypergeometric function FQP(a1,,…,aP,c1,…,cQ;z) with the variable z one obtains a lower-order hypergeometric function in the limit when the confluence parameters go to infinity.
openaire +2 more sources
Log-concavity and Turán-type inequalities for the generalized hypergeometric function
, 2016S. Kalmykov, D. Karp
semanticscholar +1 more source
Parameter derivatives of the generalized hypergeometric function
, 2017B. Fejzullahu
semanticscholar +1 more source
Class of Integrals Involving Generalized Hypergeometric Function and Srivastava’s Polynomials
, 2017D.L. Suthar, S. Purohit, S. Agarwal
semanticscholar +1 more source