Relevant bibliographies by topics / Umbral calculus

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Umbral calculus'

Author: Grafiati
Published: 4 June 2021
Last updated: 11 March 2023

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Journal articles on the topic "Umbral calculus"

1

Kim, K. H. "The Umbral Calculus." Mathematical Social Sciences 11, no. 1 (1986): 94–95. http://dx.doi.org/10.1016/0165-4896(86)90009-0.

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Yun, Sang Jo, та Jin-Woo Park. "Identities of Degenerate Poly-Changhee Polynomials Arising from λ -Sheffer Sequences". Journal of Mathematics 2022 (14 липня 2022): 1–9. http://dx.doi.org/10.1155/2022/1482534.

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In the 1970s, Gian-Carlo Rota constructed the umbral calculus for investigating the properties of special functions, and by Kim-Kim, umbral calculus is generalized called λ -umbral calculus. In this paper, we find some important relationships between degenerate Changhee polynomials and some important special polynomials by expressing the Changhee polynomial as a linear combination of some special polynomials. In addition, we derive some interesting identities related to degenerate poly-Changhee polynomials and some important special functions by using λ -umbral calculus.
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Rota, G. C., and B. D. Taylor. "The Classical Umbral Calculus." SIAM Journal on Mathematical Analysis 25, no. 2 (1994): 694–711. http://dx.doi.org/10.1137/s0036141093245616.

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Verdoodt, Ann. "Non-Archimedean Umbral Calculus." Annales mathématiques Blaise Pascal 5, no. 1 (1998): 55–73. http://dx.doi.org/10.5802/ambp.105.

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Sun, Xie-Hua. "On Umbral Calculus I." Journal of Mathematical Analysis and Applications 244, no. 2 (2000): 279–90. http://dx.doi.org/10.1006/jmaa.1999.6686.

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Verdoodt, Ann. "p-adicq-umbral Calculus." Journal of Mathematical Analysis and Applications 198, no. 1 (1996): 166–77. http://dx.doi.org/10.1006/jmaa.1996.0074.

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Benyattou, Abdelkader. "Congruences via umbral calculus." Notes on Number Theory and Discrete Mathematics 28, no. 4 (2022): 719–29. http://dx.doi.org/10.7546/nntdm.2022.28.4.719-729.

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In this paper, we use the properties of the classical umbral calculus to give some congruences related to the Bell numbers and Bell polynomials. We also present a new congruence involving Appell polynomials with integer coefficients.
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Roman, Steven. "More on the umbral calculus, with emphasis on the q-umbral calculus." Journal of Mathematical Analysis and Applications 107, no. 1 (1985): 222–54. http://dx.doi.org/10.1016/0022-247x(85)90367-1.

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Zeilberger, Doron. "Book Review: The umbral calculus." Bulletin of the American Mathematical Society 13, no. 1 (1985): 73–77. http://dx.doi.org/10.1090/s0273-0979-1985-15374-1.

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López-Sendino, J. E., J. Negro, M. A. del Olmo, and E. Salgado. "Quantum mechanics and umbral calculus." Journal of Physics: Conference Series 128 (August 1, 2008): 012056. http://dx.doi.org/10.1088/1742-6596/128/1/012056.

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Dissertations / Theses on the topic "Umbral calculus"

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Licciardi, Silvia. "Umbral Calculus A Different Mathematical Language." Doctoral thesis, Università di Catania, 2018. http://hdl.handle.net/10761/3941.

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The thesis is aimed at a thorough exposition of the Umbral Method, relevant in the theory of special functions, for the solution of ordinary and partial differential equations, including those of fractional nature. It will provide an account of the theory and applications of Operational Methods allowing the "translation" of the theory of special functions and polynomials into a "different" mathematical language. The language we are referring to is that of symbolic methods, largely based on a formalism of umbral type which provides a tremendous simplification of the derivation of the associated
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LICCIARDI, SILVIA. "Umbral calculus a different mathematical language." Doctoral thesis, Università degli studi di Catania, 2018. http://hdl.handle.net/20.500.11769/491021.

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The thesis is aimed at a thorough exposition of the Umbral Method, relevant in the theory of special functions, for the solution of ordinary and partial differential equations, including those of fractional nature. It will provide an account of the theory and applications of Operational Methods allowing the "translation" of the theory of special functions and polynomials into a "different" mathematical language. The language we are referring to is that of symbolic methods, largely based on a formalism of umbral type which provides a tremendous simplification of the derivation of the associated
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Araaya, Tsehaye. "The Symmetric Meixner-Pollaczek polynomials." Doctoral thesis, Uppsala University, Department of Mathematics, 2003. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-3501.

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<p>The Symmetric Meixner-Pollaczek polynomials are considered. We denote these polynomials in this thesis by <i>p</i><i>n</i><sup>(λ)</sup>(<i>x</i>) instead of the standard notation <i>p</i><i>n</i><sup>(λ)</sup> (<i>x</i>/2, <i>π</i>/2), where λ > 0. The limiting case of these sequences of polynomials <i>p</i><i>n</i><sup>(0)</sup> (<i>x</i>) =lim<sub>λ→0</sub> <i>p</i><i>n</i><sup>(λ)</sup>(<i>x</i>), is obtained, and is shown to be an orthogonal sequence in the strip, <i>S</i> = {<i>z</i> ∈ ℂ : −1≤ℭ (<i>z</i>)≤1}.</p><p>From the point of view of Umbral Calculus, this sequence has a special
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Blasiak, Pawel Piotr. "Combinatorics of boson normal ordering and some applications." Paris 6, 2005. http://www.theses.fr/2005PA066185.

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Robinson, Thomas J. "Formal calculus, umbral calculus, and basic axiomatics of vertex algebras." 2009. http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.000051897.

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Books on the topic "Umbral calculus"

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Bucchianico, Alessandro Di. Probabilistic and analytical aspects of the umbral calculus. Centrum voor Wiskunde en Informatica, 1997.

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Roman, Steven. Umbral Calculus. Dover Publications, Incorporated, 2019.

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Roman, Steven. Umbral Calculus. Dover Publications, Incorporated, 2013.

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Roman, Steven. Umbral Calculus. Dover Publications, Incorporated, 2019.

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Roman, Steven. Umbral Calculus. Dover Publications, Incorporated, 2013.

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Roman, Steven. The Umbral Calculus. Dover Publications, 2005.

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7

Modern Umbral Calculus: An Elementary Introduction with Applications to Linear Interpolation and Operator Approximation Theory. De Gruyter, Inc., 2019.

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Costabile, Francesco Aldo. Modern Umbral Calculus: An Elementary Introduction with Applications to Linear Interpolation and Operator Approximation Theory. de Gruyter GmbH, Walter, 2019.

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Costabile, Francesco Aldo. Modern Umbral Calculus: An Elementary Introduction with Applications to Linear Interpolation and Operator Approximation Theory. de Gruyter GmbH, Walter, 2019.

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Book chapters on the topic "Umbral calculus"

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Roman, Steven. "The Umbral Calculus." In Advanced Linear Algebra. Springer New York, 1992. http://dx.doi.org/10.1007/978-1-4757-2178-2_17.

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Roman, Steven. "The Umbral Calculus." In Advanced Linear Algebra. Springer New York, 2008. http://dx.doi.org/10.1007/978-0-387-72831-5_19.

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di Bucchianico, Alessandro, Daniel E. Loeb, and Gian-Carlo Rota. "Umbral Calculus in Hilbert Space." In Mathematical Essays in honor of Gian-Carlo Rota. Birkhäuser Boston, 1998. http://dx.doi.org/10.1007/978-1-4612-4108-9_10.

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Ray, Nigel. "Universal Constructions in Umbral Calculus." In Mathematical Essays in honor of Gian-Carlo Rota. Birkhäuser Boston, 1998. http://dx.doi.org/10.1007/978-1-4612-4108-9_18.

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di Bucchianico, A., and D. E. Loeb. "Natural Exponential Families and Umbral Calculus." In Mathematical Essays in honor of Gian-Carlo Rota. Birkhäuser Boston, 1998. http://dx.doi.org/10.1007/978-1-4612-4108-9_9.

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Niederhausen, Heinrich. "Lattice Path Enumeration and Umbral Calculus." In Advances in Combinatorial Methods and Applications to Probability and Statistics. Birkhäuser Boston, 1997. http://dx.doi.org/10.1007/978-1-4612-4140-9_2.

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Taylor, Brian D. "Difference Equations via the Classical Umbral Calculus." In Mathematical Essays in honor of Gian-Carlo Rota. Birkhäuser Boston, 1998. http://dx.doi.org/10.1007/978-1-4612-4108-9_21.

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Kim, Dae San, and Taekyun Kim. "An Umbral Calculus Approach to Bernoulli–Padé Polynomials." In Mathematical Analysis, Approximation Theory and Their Applications. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-31281-1_16.

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Ernst, Thomas. "The q-umbral calculus and semigroups. The Nørlund calculus of finite differences." In A Comprehensive Treatment of q-Calculus. Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0431-8_4.

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Wimp, Jet. "The Umbral Calculus and Identities for Hypergeometric Functions with Special Arguments." In Mathematical Essays in honor of Gian-Carlo Rota. Birkhäuser Boston, 1998. http://dx.doi.org/10.1007/978-1-4612-4108-9_23.

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Conference papers on the topic "Umbral calculus"

1

ERNST, THOMAS. "A RENAISSANCE FOR A Q-UMBRAL CALCULUS." In Proceedings of the International Conference. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812770752_0015.

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Kochubei, Anatoly N. "Umbral Calculus and Holonomic Modules in Positive Characteristic." In p-ADIC MATHEMATICAL PHYSICS: 2nd International Conference. AIP, 2006. http://dx.doi.org/10.1063/1.2193127.

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Dere, Rahime. "Some identities of the q-Laguerre polynomials on q-Umbral calculus." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2016). Author(s), 2017. http://dx.doi.org/10.1063/1.4992454.

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Zapata Escobar, Arabella, Ricardo Bonett, and Carlos Blandón. "ESTIMACIÓN RÁPIDA DE LA DEMANDA SÍSMICA EN EDIFICIOS DE MUROS DELGADOS DE HORMIGÓN REFORZADO." In Mujeres en ingeniería: empoderamiento, liderazgo y compromiso. Asociacion Colombiana de Facultades de Ingeniería - ACOFI, 2021. http://dx.doi.org/10.26507/ponencia.1855.

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Dado el auge de la construcción de vivienda con el sistema de muros industrializados, que típicamente consiste en edificios con muros de hormigón reforzado delgados y esbeltos, es necesario contar con herramientas que permitan realizar estimaciones rápidas de la demanda sísmica en este sistema a fin de garantizar que el predimensionamiento de los elementos estructurales sea el adecuado. En este trabajo se presenta una ecuación para calcular la demanda de rotación elástica asociada con el sismo de diseño como una función del índice de rigidez, un parámetro que relaciona la altura total del edif
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