Results 131 to 140 of about 5,444,686 (168)

Algorithm-assisted discovery of an intrinsic order among mathematical constants. [PDF]

Proc Natl Acad Sci U S A
Elimelech R, David O, De la Cruz Mengual C, Kalisch R, Berndt W, Shalyt M, Silberstein M, Hadad Y, Kaminer I.   +8 more
europepmc   +1 more source

Draft genome sequences of two biocontrol agents isolated from the maize phyllosphere: Bacillus subtilis strain EM-A7 and Bacillus velezensis strain EM-A8. [PDF]

Heliyon
Fessia A, Sartori M, Orlando J, Barros G, Nesci A.   +4 more
europepmc   +1 more source

A Boosting SAR Image Despeckling Method Based on Non-Local Weighted Group Low-Rank Representation. [PDF]

Sensors (Basel), 2018
Fang J, Hu S, Ma X.
europepmc   +1 more source

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Inequalities for the Polygamma Functions

SIAM Journal on Mathematical Analysis, 1998
Let F_n(x; c) = (\Psi^{(n)}(x))^2 - c \Psi^{(n - 1)}(x) \Psi^{(n + 1)}(x) \quad (x > 0), where $\Psi$ denotes the logarithmic derivative of the gamma function, $n \geq 2$ is an integer, and c is a real number. The authors prove that the function $x \mapsto F_n (x; \alpha)$ is strictly completely monotonic on $(0, \infty)$ if and only if $\alpha \leq
Alzer, Horst, Wells, Jim
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On Certain Properties and Expansions of Zeta Matrix Function, Digamma Matrix Function and Polygamma Matrix Function

Quaestiones Mathematicae, 2020
We introduce the generalized zeta matrix function, digamma matrix function and polygamma matrix function. We obtain the regions of convergence of these matrix functions, some recurrence relations and their integral representations.
Vivek Sahai, Ravi Dwivedi
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SPECIAL VALUES OF THE POLYGAMMA FUNCTIONS

International Journal of Number Theory, 2009
Let q be a natural number and [Formula: see text]. We consider the Dirichlet series ∑n ≥ 1 f(n)/ns and relate its value when s is a natural number, to the special values of the polygamma function. For certain types of functions f, we evaluate the special value explicitly and use this to study linear independence over ℚ of L(k,χ) as χ ranges over ...
Murty, M. Ram, Saradha, N.
openaire   +2 more sources

Polygamma Functions of Arbitrary Order

SIAM Journal on Mathematical Analysis, 1976
Functions $\psi ^{(\nu)} (x)$ are defined for every complex $\nu$. They are entire functions of $\nu$ and generalize the well-known polygamma functions. Some of their properties are derived and their relation to another possible generalization is described.
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Inequalities for the Gamma and Polygamma Functions

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 1998
Author offers an extension, with new proof, of a result by \textit{G. D. Anderson} and \textit{S.-L. Qiu} [Proc. Am. Math. Soc. 125, No. 11, 3355-3362 (1997; Zbl 0881.33001)] of the strict increasing of \(\log (\Gamma(x+1))/(x\log x),\) from \(]1,\infty[\) to \(]0,\infty[,\) furthermore inequalities for \(\psi^{(n)}(x+1)-\psi^{(n)}(x+s) (\psi=\Gamma ...
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Computation of the polygamma functions

Communications in Statistics - Simulation and Computation, 1984
An algorithm is presented for computing the psi(digamma) and other polygamma functions. 12 references, 2 tables.
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