Results 51 to 60 of about 52,800 (268)
A New Identity Involving the Chebyshev Polynomials
Mathematics, 2018 In this paper, firstly, we introduced a second order non-linear recursive sequence, then we use this sequence and the combinatorial methods to perform a deep study on the computational problem concerning one kind sums, which includes the Chebyshev ...
Yixue Zhang, Zhuoyu Chen
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Some Janowski Type Harmonic q-Starlike Functions Associated with Symmetrical Points
Mathematics, 2020 The motive behind this article is to apply the notions of q-derivative by introducing some new families of harmonic functions associated with the symmetric circular region. We develop a new criterion for sense preserving and hence the univalency in terms
Muhammad Arif +4 more
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On a convolution series attached to a Siegel Hecke cusp form of degree 2
, 2013 We prove that the "naive" convolution Dirichlet series D_2(s) attached to a degree 2 Siegel Hecke cusp form F, has a pole at s=1. As an application, we write down the asymptotic formula for the partial sums of the squares of the eigenvalues of $F$ with ...
Das, Soumya +2 more
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Deep Convolutional Sum-Product Networks
Proceedings of the AAAI Conference on Artificial Intelligence, 2019 We give conditions under which convolutional neural networks (CNNs) define valid sum-product networks (SPNs). One subclass, called convolutional SPNs (CSPNs), can be implemented using tensors, but also can suffer from being too shallow. Fortunately, tensors can be augmented while maintaining valid SPNs.
Cory J. Butz +3 more
openaire +2 more sources
Organoids in pediatric cancer research
FEBS Letters, EarlyView.Organoid technology has revolutionized cancer research, yet its application in pediatric oncology remains limited. Recent advances have enabled the development of pediatric tumor organoids, offering new insights into disease biology, treatment response, and interactions with the tumor microenvironment.
Carla Ríos Arceo, Jarno Drost
wiley +1 more source
Sharp $L^1$ Inequalities for Sup-Convolution
Discrete Analysis, 2023 Sharp $L^1$ Inequalities for Sup-Convolution, Discrete Analysis 2023:7, 16 pp. Let $f$ and $g$ be two real-valued functions defined on a compact convex subset $C$ of $\mathbb R^k$.
Hunter Spink +2 more
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Convolution formula for the sums of generalized Dirichlet L-functions
, 2018 Using the Kuznetsov trace formula, we prove a spectral decomposition for the sums of generalized Dirichlet $L$-functions. Among applications are an explicit formula relating norms of prime geodesics to moments of symmetric square $L$-functions and an ...
Balkanova, Olga, Frolenkov, Dmitry
core +1 more source
FEBS Letters, EarlyView.This study reveals how the mitochondrial protein Slm35 is regulated in Saccharomyces cerevisiae. The authors identify stress‐responsive DNA elements and two upstream open reading frames (uORFs) in the 5′ untranslated region of SLM35. One uORF restricts translation, and its mutation increases Slm35 protein levels and mitophagy.
Hernán Romo‐Casanueva +5 more
wiley +1 more source
Classes of Meromorphic Functions Defined by the Hadamard Product
International Journal of Mathematics and Mathematical Sciences, 2010 The object of the present paper is to introduce new classes of meromorphic functions with varying argument of coefficients defined by means of the Hadamard product (or convolution).
J. Dziok
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