Some New Recurrence Relations Concerning Jacobi Functions by Hatem Mejjaoli, Ahmedou Ould Ahmed Salem

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Recurrence Relations and Hilbert Series of the Monoid Associated with Star Topology by Jiang-Hua Tang, Zaffar Iqbal, Abdul Rauf Nizami, Mobeen Munir, Faiza Azam, Jia-Bao Liu

“…In this work, we study star topology Sn and associate a Coxeter structure of affine type on it. We find a recurrence relation and the Hilbert series of the associated right-angled monoid MSn∞. …”
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The Laguerre Constellation of Classical Orthogonal Polynomials by Roberto S. Costas-Santos

Subjects: “…recurrence relation…”
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Orthogonal Polynomials on Radial Rays in the Complex Plane: Construction, Properties and Applications by Gradimir V. Milovanović

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On Robust Stability for Hurwitz Polynomials via Recurrence Relations and Linear Combinations of Orthogonal Polynomials by Alejandro Arceo, Héctor F. Flores, Lino G. Garza, Luis E. Garza, Gerardo Romero

“…These sequences are constructed by using properties of orthogonal polynomials, such as the well-known three-term recurrence relation, as well as by considering linear combinations of two orthogonal polynomials with consecutive degree. …”
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Semilocal Convergence for a Fifth-Order Newton's Method Using Recurrence Relations in Banach Spaces by Liang Chen, Chuanqing Gu, Yanfang Ma

“…We make an attempt to establish the semilocal convergence of this method by using recurrence relations. The recurrence relations for the method are derived, and then an existence-uniqueness theorem is given to establish the R-order of the method to be five and a priori error bounds. …”
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Some Recurrence Relations and Hilbert Series of Right-Angled Affine Artin Monoid M(D~n∞) by Young Chel Kuwn, Zaffar Iqbal, Abdul Rauf Nizami, Mobeen Munir, Sana Riaz, Shin Min Kang

“…We also discuss its recurrence relation and the growth rate.…”
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Seven-dimensional considerations of Einstein's connection. I. The recurrence relations of the first kind in n-g-UFT by Mi Ae Kim, Keum Sook So, Chung Hyun Cho, Kyung Tae Chung

“…In a series of papers, we obtain a surveyable tensorial representation of 7-dimensional Einstein's connection in terms of unified field tensor, with main emphasis on the derivation of powerful and useful recurrence relations which hold in X7. In this paper, we give a brief survey of Einstein's unified field theory and derive the recurrence relations of the first kind which hold in a general Xn. …”
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Seven-dimensional considerations of Einstein's connection. II. The recurrence relations of the second and third kind in 7-g-UFT by Mi Ae Kim, Keum Sook So, Chung Hyun Cho, Kyung Tae Chung

“…We present powerful recurrence relations of the second and third kind which hold in 7-dimensional Einstein's generalized Riemannian manifold X7. …”
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Six-dimensional considerations of Einstein's connection for the first two classes. I. The recurrence relations in 6-g-UFT by Kyung Tae Chung, Gye Tak Yang, In Ho Hwang

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THE OPTIMAL PRINCIPLE OF BELLMAN IN THE PROBLEM OF OPTIMAL MEANS DISTRIBUTION BETWEEN ENTERPRISES FOR THE EXPANSION OF PRODUCTION by A. Tarasenko, I. Egorova

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Matchings in hexagonal cacti by E. J. Farrell

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Turán inequalities for symmetric orthogonal polynomials by Joaquin Bustoz, Mourad E. H. Ismail

Subjects: “…recurrence relations…”
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Tridiagonal Operators and Zeros of Polynomials in Two Variables by Chrysi G. Kokologiannaki, Eugenia N. Petropoulou, Dimitris Rizos

“…The polynomials in two variables are assumed to satisfy a five-term recurrence relation, similar to the three-term recurrence relation that the classical orthogonal polynomials satisfy.…”
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A Numerical Approach for the Analytical Solution of Multidimensional Wave Problems by Jinxing Liu, Jiahua Fang, Muhammad Nadeem, Yahya Alsayyad

“…The series solution for this recurrence relation is determined using the homotopy perturbation strategy (HPS) in the form of convergence that provides the precise solution after a few iterations. …”
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On Generalized Bell Polynomials by Roberto B. Corcino, Cristina B. Corcino

“…It is shown that the sequence of the generalized Bell polynomials Sn(x) is convex under some restrictions of the parameters involved. A kind of recurrence relation for Sn(x) is established, and some numbers related to the generalized Bell numbers and their properties are investigated.…”
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The Approximate Solution of Fredholm Integral Equations with Oscillatory Trigonometric Kernels by Qinghua Wu

“…These integrals are calculated by using recursion formula derived from the fundamental recurrence relation of Chebyshev polynomial. The effectiveness and accuracy of the proposed method are tested by numerical examples.…”
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A Newton Interpolation Approach to Generalized Stirling Numbers by Aimin Xu

“…We make use of the Newton interpolation and divided differences to obtain some basic properties of the generalized Stirling numbers including the recurrence relation, explicit expression, and generating function. …”
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On hypergeometric generalized negative binomial distribution by M. E. Ghitany, S. A. Al-Awadhi, S. L. Kalla

“…Also, a three-term recurrence relation for computing probabilities from the considered distribution is given. …”
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On some permutation polynomials over finite fields by Amir Akbary, Qiang Wang

“…We completely describe the permutation behavior of the binomial P(x)=xr(1+xes) (1≤e≤6) over a finite field Fq in terms of the sequence {an} defined by the recurrence relation an=an−1+2an−2−an−3 (n≥3) with initial values a0=3, a1=1, and a2=5.…”
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