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Discrete Generating Functions

Mathematical Notes, 2023
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Akhtamova, S. S.   +2 more
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Generalized Production Functions

The Review of Economic Studies, 1969
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Zellner, A., Revankar, N. S.
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Generalized Poisson Functionals

Probability Theory and Related Fields, 1988
With the aim of treating nonlinear systems with inputs being discrete and outputs being generalized functions, generalized Poisson functionals are defined and analysed, where the U-transforms and the renormalizations play essential roles. For Poisson functionals, the differential operators with respect to a Poisson white noise Ṗ(t), their adjoint ...
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Generalized Conjugate Functions

Mathematische Operationsforschung und Statistik. Series Optimization, 1977
Conjugate functions introduced in nonlinear programming by Fenchel are closely connected with polarity with respect to a special hypersurface of the order two. In the paper a wider class of conjugate functions is considered, basing on the polarity with respect to a nondegenerate hypersurface φ of order two. Important properties of so-called φ-conjugate
Deumlich, R., Elster, K.-H.
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GENERALIZED MEROMORPHIC FUNCTIONS

Russian Academy of Sciences. Izvestiya Mathematics, 1994
The autor continues his pioneering work on generalized meromorphic functions on the big plane generated by a compact Abelian group \(G\) with ordered dual group \(\Gamma\subset\mathbb{R}\). Here he presents the proofs of several of his previously announced results. Let \(G\) be a compact Abelian group with ordered dual group \(\Gamma\subset \mathbb{R}\)
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Some Generating Functions

Proceedings of the London Mathematical Society, 1933
Die Anzahl der linear-unabhängigen Seminvarianten (oder Kovarianten) vom Grade \(\delta\) und Gewichten \(\alpha,\beta,\gamma\) einer ternären Form \(a_x^n\) ist gleich dem Koeffizienten von \(y^\beta z^\gamma\) in der erzeugenden Funktion \[ (1 - y) (1 - z) (1 - \frac{z}{y}) \sum_{r+s=0}^n y^{r\delta} z^{s\delta} \mathop{{\prod}'}_{\rho+\sigma=0}^n ...
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Generalized Lipschitz Functions

Computational Methods and Function Theory, 2006
Lipschitz classes with variable exponents \(\text{Lip}_{\alpha(t)}\) are introduced. The exponents \({\alpha(t)}\) (called test functions) are supposed to be real-valued continuous functions defined in the right neighbourhood of zero satisfying the following conditions: \[ 1)\;{\alpha(t) = \alpha + o(1)},\;\alpha\in {\mathbb R};\quad 2) \;\int_{0}^{t} \
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Portfolio Generating Functions

SSRN Electronic Journal, 1998
A general method is presented for constructing dynamic equity portfolios through the use of mathematical generating functions. The return on these functionally generated portfolios is related to the return on the market portfolio by a stochastic differential equation.
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Harmonic generalized functions in generalized function algebras

Monatshefte für Mathematik, 2009
The analysis of properties of harmonic generalized functions within the framework of Colombeau theory is carried out. The authors present generalizations of the maximum principle and Liouville's theorem for harmonic generalized functions. The Dirichlet problem is solved by an application of the Poisson formula in the framework of generalized functions.
Pilipović, Stevan   +1 more
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