Incomplete gamma function
Analytical solution of modified point kinetics equations for linear reactivity variation in subcritical nuclear reactors adopting an incomplete gamma function approximation
... upper incomplete gamma function found in the solution in order to make the computational processing ...the gamma approximation used achieve a high accuracy for the usual ...
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Monotonicity of the incomplete gamma function with applications
... Gupta, SS, Waknis, MN: A system of inequalities for the incomplete gamma function and the normal integral.. Yamagata, K: A contribution to the theory of non-isothermal laminar flow of flui[r] ...
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Efficient approximation of the incomplete gamma function for use in cloud model applications
... However, many cloud microphysical processes involve some sort of spectral cut off, for example, collision processes like autoconversion or some 2- and 3-species collisions be- tween solid and/or liquid particles. If, in ...
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Some Results on the Derivatives of the Gamma and Incomplete Gamma Function for Non-positive Integers
... the Gamma function for non-positive ...lower incomplete Gamma function γ(α, x) and the locally summable function γ(α, x + ) = H(x)γ(α, x) for the non-positive integer ...
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Monotonicity and inequalities involving the incomplete gamma function
... Case : a ≤ /p. Then from (.)-(.) we clearly see that the function f (x)/g (x) is strictly decreasing on (, ∞). Therefore, R(x) is strictly decreasing on (, ∞) follows from Lemma . and (.) together ...
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Nested derivatives: a simple method for computing series expansions of inverse functions
... Section 4 contains our main result of the use of nested derivatives to com- pute power series of inverses. We test our result with some known results and we apply the method for obtaining expansions for the inverse of ...
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The Representations on the Partial Derivatives of the Extended, Generalized Gamma and Incomplete Gamma Functions and Their Applications
... the gamma function Γ(α) and incomplete gamma function Γ(α, z) are obtained for complex number α ̸= 0, −1, −2, · · ...k−gamma function Γ k (x) are also ...
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1. Integral Representation of the Generalized Bessel linear functional
... The main purpose of this paper is to give an integral representation of B[ν ], for all real number ν 6= −n, n ≥ 0. To reach our goal, we need to treat two cases separately, the first one is ν ≥ 0 and the second is ν < ...
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Effect of Calving Interval on Milk Yield and Quality Lactation in Dairy Cows
... of incomplete gamma function parameters of milk and milk chemical components during lactation according to the calving interval in Romanian Black and White Spotted cows ...
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Effect of Parity on Dynamics of Milk Yield and Composition during Normal Lactation in Dairy Cows
... of incomplete gamma function parameters of milk and chemical components (non-fat solids and dry matter) of milk during lactation in the order lactating cows Romanian Black Spotted ...
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Monotonicity Results and Inequalities for the Gamma and Incomplete Gamma Functions
... To the best of my knowledge, inequalities in (10) are new. In [1, 2, 3], Horst Alzer established many inequalities for the gamma function. In [21, 23] the authors found some inequalities of the ...
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Neutrix Limit on Divergent Series
... polygamma function [2], the q- analogue of the incomplete gamma function [3], the delta function [4, 5], the q-gamma function [6], quantum field theory [7], the beta ...
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Some Inequalities Bounding Certain Ratios of the (p,k)-Gamma Function
... Gautschi, Some elementary inequalities relating to the Gamma and incomplete Gamma function, Journal of Mathematics and Physics, 38(1)(1959), 77-81.. [4] A.[r] ...
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CAS: A Linear Approximation to Copula Regression
... the gamma function, but seem to be scarce for the incomplete gamma ...plete gamma function composed with the inverse error function, the breadth of published inequali- ...
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On approximating Mills ratio
... the function F is related to the error function, and also to the upper incomplete Gamma function of parameter /, the properties of the Mills ratio are spread over papers and books of ...
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Certain inequalities for the modified Bessel type function
... studied by Glaeske et al. [in J. Comput. Appl. Math. 118(1–2):151–168, 2000] as the kernel of an integral transformation that modifies Krätzel’s integral transformation. The inequalities obtained are closely related to ...
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Hermite Hadamard type inequalities for the generalized k fractional integral operators
... the function g, the generalized k-fractional integral operator of f on [a, b], the generalized Hadamard k- fractional integral operator of f , and the generalized (k, s)-fractional integral operator of f on [a, ...
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On rational bounds for the gamma function
... 4 Results and discussion In this paper, we provide the accurate bounds for the classical gamma function in terms of very simple rational functions, which can be used to estimate the valu[r] ...
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Monotonicity and inequalities for the gamma function
... 6. Smith, WD: The gamma function revisited. http://schule.bayernport.com/gamma/gamma05.pdf (2006) 7. Nemes, G: New asymptotic expansion for the gamma function. Arch. Math. (Basel) 95, ...
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Windschitl type approximation formulas for the gamma function
... The rest of this paper is organized as follows. In Sect. 2, three lemmas are given, which are crucial to the proofs of our results. In Sect. 3, five monotonicity and convexity re- sults for the functions constructed from ...
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