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Multi-resolution tone mapping for high dynamic range medical ultrasound images. [PDF]
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Some identities of Bell polynomials
Science China Mathematics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim, Dae San, Kim, Taekyun
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NONCOMMUTATIVE BELL POLYNOMIALS
International Journal of Algebra and Computation, 1996The recursive definition for the sequence of the Bell polynomials is generalized to noncommutative variables and then explicitly solved. As applications, we present formulas for the powers of a first-order matrix-valued differential operator, of the “substantial derivative” to a dynamical system, and for the Taylor coefficients of the time-ordered ...
Schimming, Rainer, Rida, Saad Zagloul
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International Journal of Computer Mathematics, 2010
The multivariate Bell polynomials are defined as the coefficients of a power of a multivariate series. We give recurrence relations for them and examples for dimensions 2 and 3.
Christopher S. Withers +1 more
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The multivariate Bell polynomials are defined as the coefficients of a power of a multivariate series. We give recurrence relations for them and examples for dimensions 2 and 3.
Christopher S. Withers +1 more
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Some Identities on Truncated Polynomials Associated with Degenerate Bell Polynomials
Russian Journal of Mathematical Physics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim, T., Kim, D. S.
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A family of Apostol–Euler polynomials associated with Bell polynomials
Analysis, 2023Abstract Many authors investigated the characteristics of the Bell, Euler, Bernoulli, and Genocchi polynomials because of their numerous uses in statistics, number theory, and other branches of science. A generating function for mixed-type Apostol–Euler polynomials of order η related with Bell polynomials is presented in this study.
Nabiullah Khan, Saddam Husain
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ACM SIGSAM Bulletin, 1987
An introduction to Bell polynomials is given in order to see how they can be used to compute some of the classical counting functions of Combinatorics. They are also used to compute the Taylor coefficients of formal power series given as a composition of two power series along with computing the composition inverse of a power series.
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An introduction to Bell polynomials is given in order to see how they can be used to compute some of the classical counting functions of Combinatorics. They are also used to compute the Taylor coefficients of formal power series given as a composition of two power series along with computing the composition inverse of a power series.
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RESTRICTED r-BELL NUMBERS, POLYNOMIALS and (r; β)-BELL POLYNOMIALS
jnanabhaWe prove the existence of maximal and minimal integrable solutions of nonlinear Urysohn type integral equations. Two basic integral inequalities are obtained in the form of extremal integrable solutions which are further exploited for proving the boundedness and uniqueness of the integrable solutions of the considered integral equation.
Pathan, M. A., Kumar, Hemant
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On hermite-bell inverse polynomials
Rendiconti del Circolo Matematico di Palermo, 1984Bell introduced a set of polynomials by \[ \exp g(z)(d^ n/dz^ n)\exp [-g(z)]=Y_ n(g:z)\quad where\quad g(z)=\sum^{\infty}_{n=1}a_ nz^ n. \] In the present paper a related set of polynomials is considered for \(g(z)=pz^{-k}\), where p is a constant and K is a positive integer.
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