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Relevant bibliographies by topics / Faa di Bruno's formula

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Academic literature on the topic 'Faa di Bruno's formula'

Author: Grafiati

Published: 28 May 2022

Last updated: 31 July 2025

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Journal articles on the topic "Faa di Bruno's formula"

1

Gzyl, Henryk. "Multidimensional extension of Faa di Bruno's formula." Journal of Mathematical Analysis and Applications 116, no. 2 (1986): 450–55. http://dx.doi.org/10.1016/s0022-247x(86)80009-9.

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2

Mishkov, Rumen L. "Generalization of the formula of Faa di Bruno for a composite function with a vector argument." International Journal of Mathematics and Mathematical Sciences 24, no. 7 (2000): 481–91. http://dx.doi.org/10.1155/s0161171200002970.

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The paper presents a new explicit formula for thenth total derivative of a composite function with a vector argument. The well-known formula of Faa di Bruno gives an expression for thenth derivative of a composite function with a scalar argument. The formula proposed represents a straightforward generalization of Faa di Bruno's formula and gives an explicit expression for thenth total derivative of a composite function when the argument is a vector with an arbitrary number of components. In this sense, the formula of Faa di Bruno is its special case. The mathematical tools used include differe

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3

Johnson, Warren P. "The Curious History of Faa di Bruno's Formula." American Mathematical Monthly 109, no. 3 (2002): 217. http://dx.doi.org/10.2307/2695352.

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Corcino, Roberto Bagsarsa, Charles Montero, Maribeth Montero, and Jay Ontolan. "The r-Dowling Numbers and Matrices Containing r-Whitney Numbers of the Second Kind and Lah Numbers." European Journal of Pure and Applied Mathematics 12, no. 3 (2019): 1122–37. http://dx.doi.org/10.29020/nybg.ejpam.v12i3.3494.

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This paper derives another form of explicit formula for $(r,\beta)$-Bell numbers using the Faa di Bruno's formula and certain identity of Bell polynomials of the second kind. This formula is expressed in terms of the $r$-Whitney numbers of the second kind and the ordinary Lah numbers. As a consequence, a relation between $(r,\beta)$-Bell numbers and the sums of row entries of the product of two matrices containing the $r$-Whitney numbers of the second kind and the ordinary Lah numbers is established. Moreover, a $q$-analogue of the explicit formula is obtained.

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Dawid, A. P., S. Kotz, N. L. Johnson, and C. B. Read. "Encyclopedia of Statistical Sciences, Vol. 3. Faa di Bruno's Formula- Hypothesis Testing." Biometrics 41, no. 1 (1985): 341. http://dx.doi.org/10.2307/2530670.

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FERGER, Dietmar. "Moment equalities for sums of random variables via integer partitions and Faa di Bruno's formula." TURKISH JOURNAL OF MATHEMATICS 38 (2014): 558–75. http://dx.doi.org/10.3906/mat-1301-6.

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7

Jha, Sumit Kumar. "A formula for the number of non-negative integer solutions of a1x1 + a2x2 + ··· + amxm = n in terms of the partial Bell polynomials." Notes on Number Theory and Discrete Mathematics 27, no. 2 (2021): 64–69. http://dx.doi.org/10.7546/nntdm.2021.27.2.64-69.

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B, G. C. Keshan, and K. Wijerathna J. "Implementation and validation of a closed form formula for implied volatility." Indian Journal of Science and Technology 13, no. 38 (2020): 4064–72. https://doi.org/10.17485/IJST/v13i38.1301.

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Abstract <strong>Introduction:</strong> Implied volatility is one of the most commonly used estimator to predict future stock market behaviours. Accordingly, millions of option prices are used to compute the implied volatility in the stock market frequently. Traditionally, this is calculated by inverting Black-Scholes option prices with iterative numerical methods but this associates high computational cost. <strong>Objectives:</strong> This research was mainly focused on implementing and validating an explicit closed-form formula for the implied volatility by using market obser

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9

沈, 萍. "Application of Faà di Bruno’s Formula in Identity and Counting." Pure Mathematics 12, no. 12 (2022): 2231–38. http://dx.doi.org/10.12677/pm.2022.1212240.

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10

Craik, Alex D. D. "Prehistory of Faà di Bruno's Formula." American Mathematical Monthly 112, no. 2 (2005): 119–30. http://dx.doi.org/10.1080/00029890.2005.11920176.

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Dissertations / Theses on the topic "Faa di Bruno's formula"

1

Гой, Т. П. "Формула Фаа ді Бруно та параперманенти трикутних матриць". Thesis, Cумський державний університет, 2016. http://essuir.sumdu.edu.ua/handle/123456789/47996.

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Gunturk, Kamil Serkan. "Covariant Weyl quantization, symbolic calculus, and the product formula." Texas A&M University, 2003. http://hdl.handle.net/1969.1/3963.

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A covariant Wigner-Weyl quantization formalism on the manifold that uses pseudo-differential operators is proposed. The asymptotic product formula that leads to the symbol calculus in the presence of gauge and gravitational fields is presented. The new definition is used to get covariant differential operators from momentum polynomial symbols. A covariant Wigner function is defined and shown to give gauge-invariant results for the Landau problem. An example of the covariant Wigner function on the 2-sphere is also included.

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Conference papers on the topic "Faa di Bruno's formula"

1

Clark, Daniel E., and Jeremie Houssineau. "Faà Di Bruno's formula and volterra series." In 2014 IEEE Statistical Signal Processing Workshop (SSP). IEEE, 2014. http://dx.doi.org/10.1109/ssp.2014.6884614.

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