Convolution Conditions for Convexity, Starlikeness and Spiral-Likeness.
H. Silvermann, E.M. Silvia, D. Telage (1978)
Mathematische Zeitschrift
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H. Silvermann, E.M. Silvia, D. Telage (1978)
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S. R. Yadava (1972)
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Daniel M. Oberlin (1982)
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Brian Fisher, Emin Özcag (1991)
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Hans-Jürgen, Heß, Albrecht Glaeske (1986)
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Anna Kula (2011)
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The q-convolution is a measure-preserving transformation which originates from non-commutative probability, but can also be treated as a one-parameter deformation of the classical convolution. We show that its commutative aspect is further certified by the fact that the q-convolution satisfies all of the conditions of the generalized convolution (in the sense of Urbanik). The last condition of Urbanik's definition, the law of large numbers, is the crucial part to be proved and the non-commutative...
Kazimierz Urbanik (1987)
Colloquium Mathematicum
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J. Kucharczak (1988)
Colloquium Mathematicae
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Nedeljkov, M., Pilipović, S. (1992)
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J. Kucharczak (1973)
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Stojanović, Mirjana (1996)
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Annales Polonici Mathematici
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