Results 111 to 120 of about 3,001,317 (197)

Properties of analytic functions involving a differintegral operator defined using R-function

Arab Journal of Basic and Applied Sciences
The so-called R-function combines the generalized Gaussian hypergeometric function and generalized Mittag-Leffler function. The R-function is a generalization of well-known M-series which is defined to accommodate the well-known Srivastava-Tomovski ...
Elangho Umadevi, Kadhavoor R. Karthikeyan, Dharmaraj Mohankumar   +2 more
doaj   +1 more source

k-Srivastava hypergeometric functions

, 2022
Bu tez beş bölümden oluşmaktadır. Birinci bölüm giriş kısmına ayrılmıştır. İkinci bölümde Gamma, Beta, Gauss hipergeometrik ve Appell hipergeometrik fonksiyonları gibi bazı klasik fonksiyonların özelliklerine yer verilmiştir.
Halıcı, Sena
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Expansions of hypergeometric functions in hypergeometric functions

, 1961
In [1] Luke gave an expansion of the confluent hypergeometric function in terms of the modified Bessel functions I v ( z ) {I_v}(z) .
Jerry L. Fields, Jet Wimp
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Tricomi Problem for a Mixed-Type Equation of the Second Kind in a Domain the Elliptic Part of Which is the First Quadrant of the Plane

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
In the theory of mixed-type equations, most studies have been carried out for bounded domains with smooth boundaries and for equations of the first kind.
Zunnunov, R.T., Bektosheva, Sh.A., Parovik, R.I.   +2 more
doaj   +1 more source

A remarkable double integral of the product of two Gaussian hypergeometric functions

, 2023
In this paper a double integral containing two Gaussian hypergeometric functions is discussed. The integral is not found in the literature and a direct computation is not (yet) possible. Therefore, a complete different integral is computed by two methods.
Diekema, E.
core  

Sharp power mean bounds for the Gaussian hypergeometric function

Journal of Mathematical Analysis and Applications, 2005
Sharp inequalities are established between the Gaussian hypergeometric function and the power mean. These results extend known inequalities involving the complete elliptic integral and the hypergeometric mean.
openaire   +1 more source

Gaussian hypergeometric functions [PDF]

, 2003
openaire   +1 more source

A Sub-Gaussian Berry-Esseen Theorem For the Hypergeometric Distribution [PDF]

, 2004
In this paper, we derive a necessary and sufficient condition on the parameters of the Hypergeometric distribution for weak convergence to a Normal limit. We establish a Berry-Esseen theorem for the Hypergeometric distribution solely under this necessary
Maiti, Tapabrata, Lahiri, Soumendra, Chatterjee, Arindam   +2 more
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Probability of Error of Linearly Modulated Signals with Gaussian Cochannel Interference in Maximally Correlated Rayleigh Fading Channels

EURASIP Journal on Wireless Communications and Networking, 2010
We evaluate the probability of error of linearly modulated signals, such as phase-shift keying (PSK) and quadrature amplitude modulation (QAM), in the presence of Gaussian cochannel interference (CCI) and Rayleigh fading channels.
Rugini Luca, Banelli Paolo
doaj  

Turán-Type Inequalities for Gaussian Hypergeometric Functions, and Baricz\u27s Conjecture

In 2007, Á. Baricz put forward a conjecture concerning Turán-type inequalities for Gaussian hypergeometric functions (see Conjecture \ref{ConjA} in Section \ref{Sec1}). In this paper, the authors disprove this conjecture with several methods, and present
Ma, Xiao-Yan, Xiang, Xue-Yan, Qiu, Song-Liang   +2 more
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