Results 61 to 70 of about 2,163 (157)

The Cotangent Function as an Avatar of the Polylogarithm Function of Order 0 and Ramanujan’s Formula

Axioms
In this paper we will be concerned with zeta-symmetry—the functional equation for the (Riemann) zeta-function (equivalents to which are called modular relations)—and reveal the reason why so many results are intrinsic to PFE (Partial Fraction Expansion ...
Ruiyang Li, Haoyang Lu, Shigeru Kanemitsu   +2 more
doaj   +1 more source

Implementation of the Combined--Nonlinear Condensation Transformation

, 2002
We discuss several applications of the recently proposed combined nonlinear-condensation transformation (CNCT) for the evaluation of slowly convergent, nonalternating series.
Abe, Abe, Aksenov, Bailey, Bailey, Bailey, Bailey, Bailey, Baratella, Bateman, Blaisdell, Boersma, Bromwich, Champernowne, Daniel, Darwin, Dempsey, Dempsey, Denisov, Doray, Drake, Fisher, Forrey, Gamow, Gautschi, Gerhard Soff, Gnedenko, Good, Haywood, Herdan, Homeier, Jens Becher, Jentschura, Jentschura, Jentschura, Jentschura, Jentschura, Jentschura, Jentschura, Johnson, Karlin, Knopp, Konopka, Kulasekera, Levin, Macdonald, Mandelbrot, Mantegna, Martindale, Michael A. Savageau, Mohr, Olver, Pachucki, Peter J. Mohr, Sergej V. Aksenov, Sidi, Simon, Truesdell, Tsallis, Tsallis, Ulrich D. Jentschura, van Wijngaarden, Weniger, Weniger, Williams, Wolfram, Yule, Zipf, Zörnig   +68 more
core   +2 more sources

Hankel and Toeplitz Determinants for q‐Starlike Functions Involving a q‐Analog Integral Operator and q‐Exponential Function

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
This article investigates the upper bounds of the second Hankel and Toeplitz determinants for a family of q‐starlike functions defined by a q‐analog integral operator, which is a more general form of the q‐Srivastava‐Attiya operator, and the q‐exponential function eq(z).
Sarem H. Hadi, Maslina Darus, Rabha W. Ibrahim, Samuel Nicolay   +3 more
wiley   +1 more source

q-Analogues of the Barnes multiple zeta functions

, 2004
In this paper, we introduce $q$-analogues of the Barnes multiple zeta functions. We show that these functions can be extended meromorphically to the whole plane, and moreover, tend to the Barnes multiple zeta functions when $q\uparrow 1$ for all complex ...
Yamasaki, Yoshinori
core   +2 more sources

Some formulas related to Hurwitz–Lerch zeta functions [PDF]

The Ramanujan Journal, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Arithmetic progressions and holomorphic phase retrieval

Bulletin of the London Mathematical Society, Volume 56, Issue 11, Page 3316-3330, November 2024.
Abstract We study the determination of a holomorphic function from its absolute value. Given a parameter θ∈R$\theta \in \mathbb {R}$, we derive the following characterization of uniqueness in terms of rigidity of a set Λ⊆R$\Lambda \subseteq \mathbb {R}$: if F$\mathcal {F}$ is a vector space of entire functions containing all exponentials eξz,ξ∈C∖{0}$e^{
Lukas Liehr
wiley   +1 more source

Interpolation function of the genocchi type polynomials

, 2010
The main purpose of this paper is to construct not only generating functions of the new approach Genocchi type numbers and polynomials but also interpolation function of these numbers and polynomials which are related to a, b, c arbitrary positive real ...
Apostol T. M., Apostol T. M., Burak Kurt, Choi J., H. M. Srivastava, Jang L.-C., Jang L.-C., Jang L.-C., Kim T., Kim T., Kim T., Kim T., Kim T., Luo Q.-M., Luo Q.-M., Luo Q.-M., Luo Q.-M., Ozden H., Simsek Y., Srivastava H. M., Srivastava H. M., Srivastava H. M., Yilmaz Simsek, Zhang Z.-Z.   +23 more
core   +1 more source

Lead‐time‐continuous statistical postprocessing of ensemble weather forecasts

Quarterly Journal of the Royal Meteorological Society, Volume 150, Issue 761, Page 2147-2167, April 2024 Part B.
Statistical postprocessing methods for recalibrating forecasts are usually fitted individually for each lead time at which a forecast is available. This, however, is computationally expensive and restricts the usability of models. Here we study the lead‐time dependence of Ensemble Model Output Statistics—a postprocessing method—and develop lead‐time ...
Jakob Benjamin Wessel, Christopher A. T. Ferro, Frank Kwasniok   +2 more
wiley   +1 more source

On the mean square of the Lerch zeta-function

Lietuvos Matematikos Rinkinys, 1999
There is not abstract.
Antanas Laurinčikas
doaj   +3 more sources

Further generalization of the extended Hurwitz-Lerch Zeta functions

Boletim da Sociedade Paranaense de Matemática, 2017
Recently various extensions of Hurwitz-Lerch Zeta functions have been investigated. Here, we first introduce a further generalization of the extended Hurwitz-Lerch Zeta functions. Then we investigate certain interesting and (potentially) useful properties, systematically, of the generalization of the extended Hurwitz-Lerch Zeta functions, for example ...
Rakesh K. Parmar, Junesang Choi, Sunil Dutt Purohit   +2 more
openaire   +4 more sources