Relevant bibliographies by topics / Faa di Bruno formula

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  1. Journal articles
  2. Dissertations / Theses
  3. Conference papers

Academic literature on the topic 'Faa di Bruno formula'

Author: Grafiati
Published: 4 June 2021
Last updated: 12 February 2022

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Journal articles on the topic "Faa di Bruno formula"

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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 differential operators, polynomials, and Diophantine equations. An example is shown for illustration.
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2

Constantine, G. M., and T. H. Savits. "A Multivariate Faa di Bruno Formula with Applications." Transactions of the American Mathematical Society 348, no. 2 (1996): 503–20. http://dx.doi.org/10.1090/s0002-9947-96-01501-2.

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3

Shabat, Alexey Borisovich, and Magomed Khochalaevich Efendiev. "On applications of Faà-di-Bruno formula." Ufimskii Matematicheskii Zhurnal 9, no. 3 (2017): 131–36. http://dx.doi.org/10.13108/2017-9-3-131.

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4

Sarsengeldin, Merey, and Stanislav Kharina. "Method of the integral error functions for the solution of the one- and two-phase Stefan problems and its application." Filomat 31, no. 4 (2017): 1017–29. http://dx.doi.org/10.2298/fil1704017s.

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The analytical solutions of the one- and two-phase Stefan problems are found in the form of series containing linear combinations of the integral error functions which satisfy a priori the heat equation. The unknown coefficients are defined from the initial and boundary conditions by the comparison of the like power terms of the series using the Faa di Bruno formula. The convergence of the series for the temperature and for the free boundary is proved. The approximate solution is found using the replacement of series by the corresponding finite sums and the collocation method. The presented test examples confirm a good approximation of such approach. This method is applied for the solution of the Stefan problem describing the dynamics of the interaction of the electrical arc with electrodes and corresponding erosion.
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Savits, Thomas H. "Some statistical applications of Faa di Bruno." Journal of Multivariate Analysis 97, no. 10 (November 2006): 2131–40. http://dx.doi.org/10.1016/j.jmva.2006.03.001.

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6

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

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7

Mortini, Raymond. "The Fàa di Bruno formula revisited." Elemente der Mathematik 68, no. 1 (2013): 33–38. http://dx.doi.org/10.4171/em/216.

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8

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

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Abel, Ulrich. "A new Faà di Bruno type formula." Elemente der Mathematik 70, no. 2 (2015): 49–54. http://dx.doi.org/10.4171/em/274.

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Wenchang *, Chu. "The Faà di Bruno formula and determinant identities." Linear and Multilinear Algebra 54, no. 1 (January 2006): 1–25. http://dx.doi.org/10.1080/03081080412331281005.

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

1

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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Bernardini, Chiara. "La formula di Faà di Bruno." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2018. http://amslaurea.unibo.it/15989/.

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La formula di Faà di Bruno fornisce una regola per calcolare la derivata n-esima di una funzione composta. In questa tesi studieremo la forma fattoriale della formula di Faà di Bruno e poi tratteremo la formula dal punto di vista combinatorio, andando ad associare alle partizioni di insiemi le derivate di funzioni composte. Infine ci occuperemo della generalizzazione della formula nel caso di funzioni in più variabili.
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Conference papers on the topic "Faa di Bruno formula"

1

Chaachoui, Ghizlane, and Mohammed El Khomssi. "On Some Probability Results Characterizing the Distribution in Micro-economic Structures using the Formula of Faà Di Bruno." In International Conference of Computer Science and Renewable Energies. SCITEPRESS - Science and Technology Publications, 2018. http://dx.doi.org/10.5220/0009772302440248.

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