Results 21 to 30 of about 52,924 (309)
Some Geometrical Results Associated with Secant Hyperbolic Functions
Mathematics, 2022 In this paper, we examine the differential subordination implication related with the Janowski and secant hyperbolic functions. Furthermore, we explore a few results, for example, the necessary and sufficient condition in light of the convolution concept,
Isra Al-Shbeil +4 more
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Estimation of sums of random variables: Examples and information bounds [PDF]
, 2005 This paper concerns the estimation of sums of functions of observable and unobservable variables. Lower bounds for the asymptotic variance and a convolution theorem are derived in general finite- and infinite-dimensional models.
Zhang, Cun-Hui
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Efficient Sum-Check Protocol for Convolution [PDF]
IEEE Access, 2021 Many applications have recently adopted machine learning and deep learning techniques. Convolutional neural networks (CNNs) are made up of sequential operations including activation, pooling, convolution, and fully connected layer, and their computation cost is enormous, with convolution and fully connected layer dominating.
Chanyang Ju +4 more
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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 +4 more
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Non-Rectangular Convolutions and (Sub-)Cadences with Three Elements [PDF]
, 2019 The discrete acyclic convolution computes the 2n-1 sums sum_{i+j=k; (i,j) in [0,1,2,...,n-1]^2} (a_i b_j) in O(n log n) time. By using suitable offsets and setting some of the variables to zero, this method provides a tool to calculate all non-zero sums ...
Funakoshi, Mitsuru, Pape-Lange, Julian
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Evaluation of the convolution sum involving the sum of divisors function for 22, 44 and 52
Open Mathematics, 2017 The convolution sum, ∑(l,m)∈N02αl+βm=nσ(l)σ(m), $ \begin{array}{} \sum\limits_{{(l\, ,m)\in \mathbb{N}_{0}^{2}}\atop{\alpha \,l+\beta\, m=n}} \sigma(l)\sigma(m), \end{array} $ where αβ = 22, 44, 52, is evaluated for all natural numbers n. Modular forms
Ntienjem Ebénézer
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Eisenstein series and convolution sums [PDF]
The Ramanujan Journal, 2018 We compute Fourier series expansions of weight $2$ and weight $4$ Eisenstein series at various cusps. Then we use results of these computations to give formulas for the convolution sums $ \sum_{a+p b=n} (a) (b)$, $ \sum_{p_1a+p_2 b=n} (a) (b)$ and $ \sum_{a+p_1 p_2 b=n} (a) (b)$ where $p, p_1, p_2$ are primes.
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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 +4 more
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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 +4 more
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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 +3 more
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