Monoparametric Families of Orbits Produced by Planar Potentials by Thomas Kotoulas

“…For known families of curves, e.g., ellipse, the logarithmic spiral, the lemniscate of Bernoulli, and circles, we find homogeneous and polynomial potentials that are compatible with this family of orbits. …”
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Posteriors, conjugacy, and exponential families for completely random measures by Broderick, Tamara A, Wilson, Ashia, Jordan, Michael

“…Motivated by conjugate priors based on exponential family representations of likelihoods, we introduce a notion of exponential families for CRMs, which we call exponential CRMs. …”
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Isoperimetric inequality for an interior free boundary problem with p-laplacian operator by drissa Ly, Diaraf Seck

“…From a monotony result, we show the existence of a solution to the interior problem with a free surface for a family of Bernoulli constants. We also give an optimal estimation for the upper bound of the Bernoulli constant.…”
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A numerical method for distributed-order time fractional 2D Sobolev equation by M.H. Heydari, S. Rashid, F. Jarad

“…In this work, the distributed-order time fractional 2D Sobolev equation is introduced. The orthonormal Bernoulli polynomials, as a renowned family of basis functions, are employed to solve this problem. …”
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Application of Einstein Function on Bi-Univalent Functions Defined on the Unit Disc by Alaa H. El-Qadeem, Mohamed A. Mamon, Ibrahim S. Elshazly

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A Note on the Truncated-Exponential Based Apostol-Type Polynomials by H. M. Srivastava, Serkan Araci, Waseem A. Khan, Mehmet Acikgöz

“…In particular, we establish the operational correspondence between this new family of polynomials and the familiar Apostol-type polynomials. …”
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An analytical approach for the nonlinear forced vibration of clamped-clamped buckled beam by Shahin Mohammadrezazadeh, Ali-Asghar Jafari, Mohammad Saeid Jafari

“…<span style="font-family: 'Times New Roman','serif'; font-size: 10pt; mso-bidi-font-size: 9.0pt; mso-ansi-language: EN-US; mso-fareast-font-family: 'Times New Roman'; mso-bidi-language: AR-SA; mso-fareast-language: EN-US;">Analytical solutions are attractive for parametric studies and consideration of the problems physics. …”
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Traveling wave structures of some fourth-order nonlinear partial differential equations by Handenur Esen, Neslihan Ozdemir, Aydin Secer, Mustafa Bayram

“…This study presents a large family of the traveling wave solutions to the two fourth-order nonlinear partial differential equations utilizing the Riccati-Bernoulli sub-ODE method. …”
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A Unified Family of Generalized $q$-Hermite Apostol Type Polynomials and its Applications by Tabinda Nahid, Subuhi Khan

“…The $q$-Hermite-Apostol Bernoulli, $q$-Hermite-Apostol Euler and $q$-Hermite-Apostol Genocchi polynomials are studied as special members of this family and corresponding relations for these polynomials are obtained.…”
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A Family of Skew-Normal Distributions for Modeling Proportions and Rates with Zeros/Ones Excess by Guillermo Martínez-Flórez, Víctor Leiva, Emilio Gómez-Déniz, Carolina Marchant

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Estimate of third Hankel determinant for a subfamily of analytic functions by Shah Syed Ghoos Ali, Hussain Saqib, Lateef Shahid, Sakar F. Müge, Darus Maslina

“…In this article, our aim is to study analytic functions related with Salagean operator and associated with the right half of the lemniscate of Bernoulli. We find the estimates of the third Hankel determinant for new family of analytic functions. …”
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Novel Formulas for <i>B</i>-Splines, Bernstein Basis Functions, and Special Numbers: Approach to Derivative and Functional Equations of Generating Functions by Yilmaz Simsek

“…The purpose of this article is to give relations among the uniform <i>B</i>-splines, the Bernstein basis functions, and certain families of special numbers and polynomials with the aid of the generating functions method. …”
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Finite Cascades of Pitchfork Bifurcations and Multistability in Generalized Lorenz-96 Models by Anouk F. G. Pelzer, Alef E. Sterk

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Geometric Numerical Integration of Liénard Systems via a Contact Hamiltonian Approach by Federico Zadra, Alessandro Bravetti, Marcello Seri

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A Study on Generalized Degenerate Form of 2D Appell Polynomials via Fractional Operators by Mohra Zayed, Shahid Ahmad Wani

“…Furthermore, it explores the practical applications of these degenerate 2D Appell polynomials and establishes their connections with equivalent results for the generalized family of degenerate 2D Bernoulli, Euler, and Genocchi polynomials.…”
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Growth of Levy trees by Duquesne, T, Winkel, M

“…More precisely, we define a growing family of discrete Galton-Watson trees with i.i.d. exponential branch lengths that is consistent under Bernoulli percolation on leaves; we define the Levy tree as the limit of this growing family with respect to the Gromov-Hausdorff topology on metric spaces. …”

Studies on Special Polynomials Involving Degenerate Appell Polynomials and Fractional Derivative by Shahid Ahmad Wani, Kinda Abuasbeh, Georgia Irina Oros, Salma Trabelsi

“…The focus of the research presented in this paper is on a new generalized family of degenerate three-variable Hermite–Appell polynomials defined here using a fractional derivative. …”
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Signature cumulants, ordered partitions, and independence of stochastic processes by Bonnier, P, Oberhauser, H

Distributional Analysis of the Parking Problem and Robin Hood Linear Probing Hashing with Buckets by Alfredo Viola

“…A key element in the analysis is the use of a new family of numbers, called Tuba Numbers, that satisfies a recurrence resembling that of the Bernoulli numbers. …”
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Analyzing dynamical snap-through of a size dependent nonlinear micro-resonator via a semi-analytic method by Hossein Mohammadi, Soroush Sepehri

“…<span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;">In the present paper, the dynamical snap-through of a preloaded micro-sensor is analyzed. …”
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