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The American Mathematical Monthly Volume 71, 1964 - Issue 5
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Original Articles

Inverse Relations and Combinatorial Identities

John RiordanBell Telephone Laboratories, Murray Hill, N. J.
Pages 485-498 | Published online: 11 Apr 2018

Citations (13)

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Jay E. Strum. (1977) Binomial Matrices. The Two-Year College Mathematics Journal 8:5, pages 260-266.
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Articles from other publishers (12)

Arthur Knoebel. (2023) Lacunary series, algebraic normal forms, convolutions. Algebra universalis 84:1.
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Vladimir Nikolaevich Chubarikov. (2021) Теорема о среднем значении кратных тригонометрических сумм на последовательности многочленов БеллаMean-Value Theorem for Multiple Trigonometric Sums on the Sequence of Bell PolynomialsАналитическая и комбинаторная теория чиселAnalytic and Combinatorial Number Theory. Труды Математического института имени В. А. Стеклова Trudy Matematicheskogo Instituta imeni V.A. Steklova 314, pages 301-310.
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V. N. Chubarikov. (2021) Mean-Value Theorem for Multiple Trigonometric Sums on the Sequence of Bell Polynomials. Proceedings of the Steklov Institute of Mathematics 314:1, pages 290-299.
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Mihyun Kang, Michael Moßhammer & Philipp Sprüssel. (2020) Phase transitions in graphs on orientable surfaces. Random Structures & Algorithms 56:4, pages 1117-1170.
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Mourad E.H. Ismail & Plamen Simeonov. (2020) Connection relations for q-Taylor polynomial bases. Advances in Applied Mathematics 117, pages 102015.
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Fernando Cordero. (2017) Common ancestor type distribution: A Moran model and its deterministic limit. Stochastic Processes and their Applications 127:2, pages 590-621.
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Gunnar Þór Magnússon. (2016) The inner product on exterior powers of a complex vector space. Linear Algebra and its Applications 504, pages 372-386.
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Georgy P. Egorychev & Eugene V. Zima. (2005) Decomposition and Group Theoretic Characterization of Pairs of Inverse Relations of the Riordan Type. Acta Applicandae Mathematicae 85:1-3, pages 93-109.
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Marilena Barnabei, Andrea Brini & Giorgio Nicoletti. (1982) Recursive matrices and umbral calculus. Journal of Algebra 75:2, pages 546-573.
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Jonathan D. H. Smith. (1982) Commutative Moufang loops and Bessel functions. Inventiones Mathematicae 67:1, pages 173-187.
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S. G. Mohanty & B. R. Handa. (2008) A generalized Vandermonde-type convolution and associated inverse series relations. Mathematical Proceedings of the Cambridge Philosophical Society 68:2, pages 459-474.
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B.R. Handa. (2018) Extensions of Vandermonde Type Convolutions with Several Summations and their Applications - II. Canadian Mathematical Bulletin 12:1, pages 63-74.
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