Results 11 to 20 of about 27,507 (192)
Subordination Properties of Meromorphic Kummer Function Correlated with Hurwitz–Lerch Zeta-Function
Mathematics, 2021 Recently, Special Function Theory (SPFT) and Operator Theory (OPT) have acquired a lot of concern due to their considerable applications in disciplines of pure and applied mathematics.
Firas Ghanim +3 more
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The Lerch zeta function I. Zeta integrals [PDF]
Forum Mathematicum, 2012 Abstract. This is the first of four papers that study algebraic and analytic structures associated to the Lerch zeta function. This paper studies “zeta integrals” associated to the Lerch zeta function using test functions, and obtains functional equations for them.
Lagarias, Jeffrey C. +1 more
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Fractional Calculus of the Lerch Zeta Function
Mediterranean Journal of Mathematics, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Emanuel Guariglia
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On extended Hurwitz–Lerch zeta function
Journal of Mathematical Analysis and Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luo, Min-Jie +2 more
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Asymptotic expansions of the Hurwitz–Lerch zeta function
Journal of Mathematical Analysis and Applications, 2004 In the paper, a generalization of the asymptotic expansions obtained by \textit{M.~Katsurada} [Proc.~Japan Acad. 74, No. 10, 167--170 (1998; Zbl 0937.11035)] and \textit{D.~Klusch} [J.~Math. Anal. Appl. 170, No. 2, 513--523 (1992; Zbl 0763.11036)] for the Lipschitz-Lerch zeta function \[ R(a, x, s)\equiv\sum_{k=0}^\infty {e^{2k\pi ix}\over (a+k)^s ...
Ferreira, Chelo, López, José L.
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Altered Brain Structure in an ATRX-Deficient Mouse Model of Autism Spectrum Disorder. [PDF]
Autism ResABSTRACT Mutations in the ATRX gene are a primary cause of alpha‐thalassemia intellectual disability X‐linked (ATRX) syndrome, which is characterized by intellectual disability, autism, and a range of brain structural abnormalities, including microcephaly.
Quesnel K +3 more
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On the Order of Growth of Lerch Zeta Functions
Mathematics, 2023 We extend Bourgain’s bound for the order of growth of the Riemann zeta function on the critical line to Lerch zeta functions. More precisely, we prove L(λ, α, 1/2 + it) ≪ t13/84+ϵ as t → ∞.
Jörn Steuding, Janyarak Tongsomporn
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Sum of the Hurwitz-Lerch Zeta Function over Natural Numbers: Derivation and Evaluation
Journal of Mathematics, 2022 We consider a Hurwitz-Lerch zeta function Φs,z,a sum over the natural numbers. We provide an analytically continued closed form solution for this sum in terms of the addition of Hurwitz-Lerch zeta functions.
Robert Reynolds, Allan Stauffer
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A Series Representation for the Hurwitz–Lerch Zeta Function
Axioms, 2021 We derive a new formula for the Hurwitz–Lerch zeta function in terms of the infinite sum of the incomplete gamma function. Special cases are derived in terms of fundamental constants.
Robert Reynolds, Allan Stauffer
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Parental and Peer Relationships and Their Impact on Symptom Severity in Adolescent Patients With Anorexia Nervosa. [PDF]
Eur Eat Disord RevABSTRACT Objective Perceived parental relationship characteristics, such as maternal overprotection, rejection or neglect, and peer victimisation, are suggested to be more common in patients with anorexia nervosa (AN) than in healthy controls. This study compares parental and peer relationships in adolescent patients with AN to those in a clinical ...
Tschitsaz A +8 more
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