Bohr's Theorem for Monogenic Functions

2007 ◽  
Author(s):  
K. Gürlebeck ◽  
J. Morais ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras
Keyword(s):  
Monogenic Functions ◽  
Bohr’S Theorem ◽  
Bohr's Theorem

Bohr’s theorem for holomorphic mappings with values in homogeneous balls

2009 ◽  
Vol 173 (1) ◽  
pp. 177-187 ◽  
Author(s):  
Hidetaka Hamada ◽  
Tatsuhiro Honda ◽  
Gabriela Kohr
Keyword(s):  
Holomorphic Mappings ◽  
Bohr’S Theorem ◽  
Bohr's Theorem

Some generalizations of Bohr's theorem

2012 ◽  
Vol 35 (17) ◽  
pp. 2031-2035 ◽  
Author(s):  
Hidetaka Hamada ◽  
Tatsuhiro Honda
Keyword(s):  
Bohr’S Theorem ◽  
Bohr's Theorem

Series expansions for monogenic functions in Clifford algebras and their application

2020 ◽  
Vol 17 (3) ◽  
pp. 365-371
Author(s):  
Anatoliy Pogorui ◽  
Tamila Kolomiiets
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Vector Space ◽  
Clifford Algebra ◽  
Clifford Algebras ◽  
Monogenic Function ◽  
Second Order ◽  
Series Expansions ◽  
Monogenic Functions ◽  
Partial Differential

This paper deals with studying some properties of a monogenic function defined on a vector space with values in the Clifford algebra generated by the space. We provide some expansions of a monogenic function and consider its application to study solutions of second-order partial differential equations.

scholarly journals On the generalized order and generalized type of entire monogenic functions

2013 ◽  
Vol 46 (4) ◽  
Author(s):  
G. S. Srivastava ◽  
Susheel Kumar
Keyword(s):  
Lower Order ◽  
Monogenic Functions ◽  
Generalized Type ◽  
Taylor’S Series ◽  
Generalized Order

AbstractIn the present paper we study the generalized growth of entire monogenic functions. The generalized order, generalized lower order and generalized type of entire monogenic functions have been obtained in terms of its Taylor’s series coefficients.

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