An Operational Calculus for Meromorphic Functions
نویسندگان
چکیده
منابع مشابه
Certain subclass of $p$-valent meromorphic Bazilevi'{c} functions defined by fractional $q$-calculus operators
The aim of the present paper is to introduce and investigate a new subclass of Bazilevi'{c} functions in the punctured unit disk $mathcal{U}^*$ which have been described through using of the well-known fractional $q$-calculus operators, Hadamard product and a linear operator. In addition, we obtain some sufficient conditions for the func...
متن کاملAn Expansion of Meromorphic Functions.
-Crossing-over data from a homozygous III-IV translocation in Drosphila melanogaster indicate that the spindle fibre interferes with crossing-over in its immediate neighborhood. Acknowledgments.-The writer is grateful to Professor T. Dobzhansky who suggested the study here reported and furnished the original stock carrying the translocation studied. Professor A. H. Sturtevant has made many help...
متن کاملAn operational calculus for the Mould operad
The operad of moulds is realized in terms of an operational calculus of formal integrals (continuous formal power series). This leads to many simplifications and to the discovery of various suboperads. In particular, we prove a conjecture of the first author about the inverse image of non-crossing trees in the dendriform operad. Finally, we explain a connection with the formalism of noncommutat...
متن کاملDifferentiation matrices for meromorphic functions
A procedure to obtain differentiation matrices with application to solve boundary value problems and to find limit-cycles of nonautonomous dynamical systems is extended straightforwardly to yield new differentiation matrices useful to obtain derivatives of complex rational functions. Such matrices can be used to obtain numerical solutions of some singular differential problems defined in the co...
متن کاملAn Ahlfors Islands Theorem for Non-archimedean Meromorphic Functions
We present a p-adic and non-archimedean version of Ahlfors’ Five Islands Theorem for meromorphic functions, extending an earlier theorem of the author for holomorphic functions. In the non-archimedean setting, the theorem requires only four islands, with explicit constants. We present examples to show that the constants are sharp and that other hypotheses of the theorem cannot be removed.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 1966
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s0027763000011600