In this paper, we present new extensions of incomplete gamma, beta, Gauss hypergeometric, confluent hypergeometric function and Appell-Lauricella functions, by using the extended Bessel due to Boudjelkha [?]. Some recurrence relations, transformation formulas, Mellin transform integral representations are obtained for these generalizations. Further, an extension Riemann-Liouville fractional deri...

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abstract agricultural scientists have developed considerable interest in modeling and generation of rainfall as new ways of analyzing rainfall data and assessing its impact on agriculture. a combination of markov chain and gamma distribution function is recognized as a simple approach and is demonstrated to be effective in generating daily rainfall data for many environments. thus the availabil...

background and aims: post exercise proteinuria and increased urinary gamma-glutamyl transferase (ggt) levels can be indicative of exercise-induced renal damage. the aim of this investigation was to study the effect of one session of intensive training on renal tubular injury markers and compare their values to those 6 hours after training, for evaluating tubular damage after intensive training....

We define and study a $$p$$ -adic analogue of the incomplete gamma function related to Morita’s function. also discuss combinatorial identity Artin-Hasse series, which is special case exponential principle in combinatorics. From this we deduce curious property $$\#\mathrm{Hom}(G,S_n)$$ for topologically finitely generated group $$G$$ , using characterization continuity certain functions $$f \co...

Abstract. Algorithms for the numerical evaluation of the incomplete gamma function ratios P (a, x) = γ(a, x)/Γ(a) and Q(a, x) = Γ(a, x)/Γ(a) are described for positive values of a and x. Also, inversion methods are given for solving the equations P (a, x) = p, Q(a, x) = q, with 0 < p, q < 1. Both the direct computation and the inversion of the incomplete gamma function ratios are used in many p...

Various extensions of classical gamma, beta, Gauss hypergeometric and confluent functions have been proposed recently by many researchers. In this paper, we further generalized extended beta function with some its properties such as symmetric properties, summation formulas, integral representations, connection other special error, Mittag – Leffler, incomplete hypergeometric, Wright, Fox H Meije...

The cumulative distribution function of the non-central chi-square χn′2(λ) n degrees freedom possesses an integral representation. Here we rewrite this in terms a lower incomplete gamma applying two second mean-value theorems for definite integrals, which are Bonnet type and Okamura’s variant du Bois–Reymond theorem. Related results exposed concerning small argument cases (CDF) their asymptotic...

The five parameter gamma–Weibull distribution has been introduced by Leipnik and Pearce (2004). Nadarajah and Kotz (2007) have simplified it into four parameter form, using hypergeometric functions in some special cases. We show that the probability distribution function, all moments of positive order and the characteristic function of gamma–Weibull distribution of a random variable can be expl...