Results 91 to 100 of about 649 (183)
On some properties of digamma and polygamma functions
Journal of Mathematical Analysis and Applications, 2007 The author proves some interesting inequalities involving the logarithmic derivative of the gamma function \(\psi(x)=\frac{\Gamma^{\prime}(x)}{\Gamma(x)}\), and its derivatives \(\psi_{n}(x)=\psi^{(n)}(x),\;n=1,2,3,\ldots\), known as polygamma functions.
openaire +2 more sources
Functional relations involving generalized H-function
Le Matematiche, 1998 A number of papers have appeared in literature in which certain functional relations associated with hypergeometric functions and Digamma function ψ(z) are derived. In order to unify and extend the existing results due to Kalla [7].
R. K. Saxena
doaj
Approximations for the Psi (Digamma) Function [PDF]
Mathematics of Computation, 1967 openaire +1 more source
Classical and Bayesian Inference of Conditional Stress-Strength Model under Kumaraswamy Distribution. [PDF]
Comput Intell Neurosci, 2021 Riad FH +3 more
europepmc +1 more source
On a Double Series Representation of $\pi$
Известия Иркутского государственного университета: Серия "Математика", 2016 This paper proposes a new representation of $\pi$ as a double series. This representation follows from the relation between the Weierstrass $\wp$-function and the Jacobi theta-function.
E. Galushina
doaj
Evolution of Robustness in Growing Random Networks. [PDF]
Entropy (Basel), 2023 Tyloo M.
europepmc +1 more source
Construction of the Digamma Function by Derivative Definition
, 2008 The Digamma and Polygamma functions are important tools in mathematical physics, not only for its many properties but also for the applications in statistical mechanics and stellar evolution. In many textbooks is found its develop almost by the same procedure. In this paper expressions for the Digamma and Polygamma functions, in terms of hypergeometric
openaire +2 more sources
A novel family of beta mixture models for the differential analysis of DNA methylation data: An application to prostate cancer. [PDF]
PLoS OneMajumdar K +7 more
europepmc +1 more source
Two Monotonicity Results for Beta Distribution Functions. [PDF]
Entropy (Basel)Hornik K.
europepmc +1 more source