Explicit entropic proofs of irreversibility theorems for holographic RG flows by Evan Deddo, James T. Liu, Leopoldo A. Pando Zayas, Robert J. Saskowski

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A joint discrete limit theorem for Epstein and Hurwitz zeta-functions by Hany Gerges, Antanas Laurinčikas, Renata Macaitienė

“… In the paper, we obtain a joint limit theorem on weak convergence for probability measure defined by discrete shifts of the Epstein and Hurwitz zeta-functions. …”
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Explicit Motor Imaging Abilities Are Similar in Complex Regional Pain Syndrome, Chronic Limb Pain and Healthy Individuals: A Cross-Sectional Study by Cohen-aknine G, Mottet D, Homs AF, Mura T, Jedryka F, Dupeyron AF

“…The preservation of these abilities supports the recommendation of mental imagery therapy to improve motor function and relieve pain in chronic pain patients.Keywords: chronic pain, MIQ-RS, motor imagery questionnaire, imagery, psychotherapy, Bayes Theorem…”
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Analytical evaluation of the Uehling potential using binomial expansion theorems by Э. Чопуроглу, Т. Мехметоглу

“…From this point of view, the determination of explicit and closed-form analytical expressions for Uehling potential is very important. …”
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The conjugate of a singular functional differential operator by L. M. Hall

“…An explicit representation of the conjugate of a singular functional differential operator is given. …”
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Sum rules & Tauberian theorems at finite temperature by Enrico Marchetto, Alessio Miscioscia, Elli Pomoni

“…Abstract We study CFTs at finite temperature and derive explicit sum rules for one-point functions of operators by imposing the KMS condition and we explicitly estimate one-point functions for light operators. …”
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A mirror theorem for Gromov-Witten theory without convexity by Jun Wang

“…We prove a genus zero Givental-style mirror theorem for all complete intersections in toric Deligne-Mumford stacks, which provides an explicit slice called big I-function on Givental’s Lagrangian cone for such targets. …”
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Hardy-Littlewood-Sobolev Theorem for Bourgain-Morrey Spaces and Approximation by Nouffou Diarra

“…Therefore, we establish in Mαq,p some approximation results by compactly supported and/or regular functions. As an application of these results, we obtain an explicit solution in [Lp(Rd)]d of the equation div F = f whenever f is in Mαq,p, with d ≥ 3, 1 ≤ q ≤ α < d and 1/p = 1/α – 1/d.…”
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Particular solutions of the multidimensional singular ultrahyperbolic equation generalizing the telegraph and Helmholtz equations by Z.O. Arzikulov, T.G. Ergashev

“…A limit correlation theorem for the multiple confluent hypergeometric function is proved, and a system of partial differential equations associated with the confluent function is derived. …”
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A compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields by Shahar Hod

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Analytically Explicit Results for the Distribution of the Number of Customers Served during a Busy Period for Special Cases of the M/G/1 Queue by M. L. Chaudhry, Veena Goswami

“…This paper presents analytically explicit results for the distribution of the number of customers served during a busy period for special cases of the M/G/1 queues when initiated with m customers. …”
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Analytical Relations and Statistical Estimations for Sums of Powered Integers by Stan Lipovetsky

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A Product of Theta-Functions Analogous to Ramanujan's Remarkable Product of Theta-Functions and Applications by Nipen Saikia

“…We prove general theorems for the explicit evaluations of lk,n and find some explicit values. …”
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ON ONE ZALCMAN PROBLEM FOR THE MEAN VALUE OPERATOR by Natalia P. Volchkova, Vitaliy V. Volchkov

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General Holmstedt’s Formulae for the K-Functional by Irshaad Ahmed, Georgi E. Karadzhov, Ali Raza

“…Explicit formulae for the K-functional for the general couple ((A0,A1)Φ0,(A0,A1)Φ1), where (A0,A1) is a compatible couple of quasi-normed spaces, are proved. …”
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Properties of single layer potentials for a pseudo- differential equation related to a linear transformation of a rotationally invariant stable stochastic process by Kh. V. Mamalyha, M. M. Osypchuk

“…In this article, we consider two main cases: the first, when this surface is bounded and closed; the second, when it is unbounded, but could be presented by an explicit equation in some coordinate system. The density of this potential is a continuous function. …”
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Polynomial Approximation over Arbitrary Shape Domains by Mohammad J. Mahtabi, Arash Ghasemi, Amirehsan Ghasemi, James C. Newman

“…Furthermore, theorems are proved to show the convergence and accuracy of the proposed method, together with an explicit form of the Weierstrass theorem for polynomial approximation. …”
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Carrollian partition function for bulk Yang-Mills theory by Per Kraus, Richard M. Myers

“…Abstract The path integral over massless quantum fields in Minkowski space with scattering boundary conditions defines a Carrollian partition function on the null boundary. We develop this framework for non-Abelian gauge theory, both from a general perspective and through explicit examples that highlight subtle aspects of soft modes and asymptotic symmetries. …”
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Linear BVPs and SIEs for Generalized Regular Functions in Clifford Analysis by Pingrun Li, Lixia Cao

“…We study some properties of a regular function in Clifford analysis and generalize Liouville theorem and Plemelj formula with values in Clifford algebra An(R). …”
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The Existence and Uniqueness Conditions for Solving Neutrosophic Differential Equations and Its Consequence on Optimal Order Quantity Strategy by Alaa Fouad Momena, Rakibul Haque, Mostafijur Rahaman, Soheil Salahshour, Sankar Prasad Mondal

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