Results 31 to 40 of about 508 (69)
Some special functions and cylindrical diffusion equation on α-time scale
Demonstratio MathematicaThis article is dedicated to present various concepts on α\alpha -time scale, including power series, Taylor series, binomial series, exponential function, gamma function, and Bessel functions of the first kind.
Silindir Burcu +3 more
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A completely monotonic function involving the tri- and tetra-gamma functions
, 2010 The psi function $\psi(x)$ is defined by $\psi(x)=\frac{\Gamma'(x)}{\Gamma(x)}$ and $\psi^{(i)}(x)$ for $i\in\mathbb{N}$ denote the polygamma functions, where $\Gamma(x)$ is the gamma function.
Guo, Bai-Ni, Qi, Feng
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Solution to an open problem on a logarithmic integral and derived results
Annals of the West University of Timisoara: Mathematics and Computer ScienceThis article solves an open problem that was previously stated by providing an exact evaluation of a logarithmic integral. Furthermore, the result is generalized by introducing a new adjustable parameter.
Coine Clément, Chesneau Christophe
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On Solving Some Trigonometric Series [PDF]
, 2013 This communication shows the track for finding a solution for a sin(kx)/k**2 series and a fresh representation for the Euler's Gamma function in terms of Riemann's Zeta function.
Stenlund, Henrik
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Some special functions identities arising from commuting operators
, 2008 Commuting is an important property in many cases of investigation of properties of operators as well as in various applications, especially in quantum physics. Using the observation that the generalized weighted differential operator of order $k$ and the
Abramowitz +8 more
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New Upper Bounds in the Second Kershaw's Double Inequality and its Generalizations [PDF]
, 2007 In the paper, new upper bounds in the second Kershaw’s double inequality and its generalizations involving the gamma, psi and polygamma functions are established, some known results are ...
Guo, Senlin, Qi, Feng
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, 2018 Let $d\in \mathbb{N}$ and let $\gamma_i\in [0,\infty)$, $x_i\in (0,1)$ be such that $\sum_{i=1}^{d+1} \gamma_i = M\in (0,\infty)$ and $\sum_{i=1}^{d+1} x_i = 1$.
Ouimet, Frédéric
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Some completely monotonic functions involving the polygamma functions [PDF]
, 2010 Motivated by existing results, we present some completely monotonic functions involving the polygamma functions.Comment: 6 ...
Gao, Peng
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Further extension of the generalized Hurwitz-Lerch Zeta function of two variables
, 2019 The main aim of this paper is to give a new generalization of Hurwitz-Lerch Zeta function of two variables.Also, we investigate several interesting properties such as integral representations, summation formula and a connection with generalized ...
Nisar, Kottakkaran Sooppy
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The evaluation of a definite integral by the method of brackets illustrating its flexibility
Open MathematicsThe method of brackets is a procedure to evaluate definite integrals over a half-line. It consists of a small number of rules. This article illustrates the method by evaluating an integral by several variations of the method. The integrand is the product
Gonzalez Ivan +2 more
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