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A closed formula for the derivatives of e f(x)

by Konstantinos Drakakis , 2005
"... We give a closed formula for the derivative of arbitrary order of the function g(x) = exp(f(x)). 1 ..."
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We give a closed formula for the derivative of arbitrary order of the function g(x) = exp(f(x)). 1

Some closed formulas for canonical bases of Fock spaces

by Bernard Leclerc, Hyohe Miyachi , 2001
"... We give some closed formulas for certain vectors of the canonical bases of the Fock space representation of Uv ( ̂ sln). As a result, a combinatorial description of certain parabolic Kazhdan-Lusztig polynomials for affine type A is obtained. ..."
Abstract - Cited by 17 (1 self) - Add to MetaCart
We give some closed formulas for certain vectors of the canonical bases of the Fock space representation of Uv ( ̂ sln). As a result, a combinatorial description of certain parabolic Kazhdan-Lusztig polynomials for affine type A is obtained.

Closed Formula for Options with Discrete Dividends and its Derivatives

by Carlos Veiga, Uwe Wystup, Carlos Veiga, Uwe Wystup , 2008
"... ∗The author wishes to thank Millennium bcp investimento, S.A. for the financial support being provided during the course of his PhD. studies. 1 We present a closed pricing formula for European options under the Black–Scholes model and formulas for its partial derivatives. The formulas are developed ..."
Abstract - Cited by 1 (1 self) - Add to MetaCart
∗The author wishes to thank Millennium bcp investimento, S.A. for the financial support being provided during the course of his PhD. studies. 1 We present a closed pricing formula for European options under the Black–Scholes model and formulas for its partial derivatives. The formulas are developed

A Closed Formula for the Riemann Normal Coordinate Expansion

by Uwe Müller, Christian Schubert , 1997
"... We derive an integral representation which encodes all coefficients of the Riemann normal coordinate expansion and also a closed formula for those coefficients. In gauge theory, one often uses Fock-Schwinger gauge [1, 2] to achieve manifest covariance in the calculation of effective actions, anomaly ..."
Abstract - Cited by 1 (0 self) - Add to MetaCart
We derive an integral representation which encodes all coefficients of the Riemann normal coordinate expansion and also a closed formula for those coefficients. In gauge theory, one often uses Fock-Schwinger gauge [1, 2] to achieve manifest covariance in the calculation of effective actions

Deodhar’s Closed Formula for Kazhdan-Lusztig Polynomials

by Yi Ming Zou
"... LetW be a Coxeter group. In [5], Kazhdan and Lusztig introduced the so-called Kazhdan-Lusztig polynomials Px,y indexed by a pair of elements x and y inW, and showed that these polynomials are related to a number of problems in representation theory. The original definition of the Kazhdan-Lusztig pol ..."
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group G of type E8. The result consists sixty gigabytes of files [6]. It is then natural to ask what if one uses other formulas to compute the Kazhdan-Lusztig poly-nomials. To the best of my knowledge, the first no-recursive general formula was given by Deodhar [2]. Later, another closed formula

A closed formula for the asymptotic expansion of the Bergman kernel

by Hao Xu - Comm. Math. Phys
"... ar ..."
Abstract - Cited by 16 (3 self) - Add to MetaCart
Abstract not found

Closed formula for the metric in the Hilbert space of a PT-symmetric model

by H. Bíla, M. Znojil - J. Phys. A39 , 2006
"... We introduce a very simple, exactly solvable PT-symmetric non-Hermitian model with real spectrum, and derive a closed formula for the metric operator which relates the problem to a Hermitian one. 1 ..."
Abstract - Cited by 21 (2 self) - Add to MetaCart
We introduce a very simple, exactly solvable PT-symmetric non-Hermitian model with real spectrum, and derive a closed formula for the metric operator which relates the problem to a Hermitian one. 1

A closed formula for the number of convex permutominoes

by Filippo Disanto, Andrea Frosini, Renzo Pinzani, Simone Rinaldi , 2007
"... ..."
Abstract - Cited by 8 (4 self) - Add to MetaCart
Abstract not found

A closed-form solution for options with stochastic volatility with applications to bond and currency options

by Steven L. Heston - Review of Financial Studies , 1993
"... I use a new technique to derive a closed-form solution for the price of a European call option on an asset with stochastic volatility. The model allows arbitrary correlation between volatility and spotasset returns. I introduce stochastic interest rates and show how to apply the model to bond option ..."
Abstract - Cited by 1512 (6 self) - Add to MetaCart
I use a new technique to derive a closed-form solution for the price of a European call option on an asset with stochastic volatility. The model allows arbitrary correlation between volatility and spotasset returns. I introduce stochastic interest rates and show how to apply the model to bond

A closed formula for local sensitivity analysis

by Enrique Castillo, Antonio J. Conejo, Roberto Mínguez, Carmen Castillo , 2004
"... in mathematical programming ..."
Abstract - Cited by 4 (0 self) - Add to MetaCart
in mathematical programming
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