Results 31 to 40 of about 52,800 (268)

Some applications of q-difference operator involving a family of meromorphic harmonic functions

Advances in Difference Equations, 2021
In this paper, we establish certain new subclasses of meromorphic harmonic functions using the principles of q-derivative operator. We obtain new criteria of sense preserving and univalency.
Neelam Khan, H. M. Srivastava, Ayesha Rafiq, Muhammad Arif, Sama Arjika   +4 more
doaj   +1 more source

Iterated Binomial Sums and their Associated Iterated Integrals [PDF]

, 2014
We consider finite iterated generalized harmonic sums weighted by the binomial $\binom{2k}{k}$ in numerators and denominators. A large class of these functions emerges in the calculation of massive Feynman diagrams with local operator insertions starting
't Hooft G., Blümlein J., Blümlein J., Bronstein M., C. G. Raab, C. Schneider, Geddes K. O., Hadamard J., Hermite Ch., J. Ablinger, J. Blümlein, Kauers M., Landau E., Lewin L., Mellin H., Nielsen N., Reutenauer C., Schneider C., Schneider C., Schwartz L., Schweber S. S.   +20 more
core   +1 more source

Q-Extension of Starlike Functions Subordinated with a Trigonometric Sine Function

Mathematics, 2020
The main purpose of this article is to examine the q-analog of starlike functions connected with a trigonometric sine function. Further, we discuss some interesting geometric properties, such as the well-known problems of Fekete-Szegö, the necessary and ...
Saeed Islam, Muhammad Ghaffar Khan, Bakhtiar Ahmad, Muhammad Arif, Ronnason Chinram   +4 more
doaj   +1 more source

Subclasses of Noshiro-Type Starlike Harmonic Functions Involving q-Srivastava–Attiya Operator

Mathematics, 2023
In this paper, the harmonic function related to the q-Srivastava–Attiya operator is described to introduce a new class of complex harmonic functions that are orientation-preserving and univalent in the open-unit disk. We also cover some important aspects
Gangadharan Murugusundaramoorthy, Kaliappan Vijaya, Daniel Breaz, Luminiţa-Ioana Cotîrlǎ   +3 more
doaj   +1 more source

On moments of twisted $L$-functions [PDF]

, 2016
We study the average of the product of the central values of two $L$-functions of modular forms $f$ and $g$ twisted by Dirichlet characters to a large prime modulus $q$.
Blomer, Valentin, Fouvry, Étienne, Kowalski, Emmanuel, Michel, Philippe, Milićević, Djordje   +4 more
core   +1 more source

Nested (inverse) binomial sums and new iterated integrals for massive Feynman diagrams [PDF]

, 2014
Nested sums containing binomial coefficients occur in the computation of massive operator matrix elements. Their associated iterated integrals lead to alphabets including radicals, for which we determined a suitable basis.
Ablinger, Jakob, Blümlein, Johannes, Raab, Clemens G., Schneider, Carsten   +3 more
core   +1 more source

A Convolution Approach on Partial Sums of Certain Harmonic Univalent Functions

International Journal of Mathematics and Mathematical Sciences, 2012
The purpose of the present paper is to establish some new results giving the sharp bounds of the real parts of ratios of harmonic univalent functions to their sequences of partial sums by using convolution.
Saurabh Porwal
doaj   +1 more source

DATIC: A Data-Aware Time-Domain Computing-in-Memory-Based CNN Processor With Dynamic Channel Skipping and Mapping

IEEE Open Journal of the Solid-State Circuits Society, 2022
Due to the low-power priority of analog delay-based computation, time-domain computing-in-memory (TD-CIM) presents a splendid potential for energy-constrained edge and IoT scenarios deploying convolutional neural networks (CNNs).
Jianxun Yang, Yuyao Kong, Yixuan Li, Chenfu Guo, Hao Sun, Leibo Liu, Shaojun Wei, Jun Yang, Shouyi Yin   +8 more
doaj   +1 more source

Approximation on the sphere by weighted Fourier expansions

Journal of Applied Mathematics, 2005
The main theme of this paper is the approximation on the sphere by weighted sums of spherical harmonics. We give necessary and sufficient conditions on the weights for convergence in both the continuous and the LP cases.
V. A. Menegatto, A. C. Piantella
doaj   +1 more source

Some Upper Bounds for RKHS Approximation by Bessel Functions

Axioms, 2022
A reproducing kernel Hilbert space (RKHS) approximation problem arising from learning theory is investigated. Some K-functionals and moduli of smoothness with respect to RKHSs are defined with Fourier–Bessel series and Fourier–Bessel transforms ...
Mingdang Tian, Baohuai Sheng, Shuhua Wang   +2 more
doaj   +1 more source