A class of monogenic functions

1963 ◽  
pp. 147-154
Author(s):  
I. A. Morev
Keyword(s):  
Monogenic Functions

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.

On Riemann problems for monogenic functions in lower dimensional non-commutative Clifford algebras

2021 ◽  
Vol 11 (2) ◽  
Author(s):  
Carlos Daniel Tamayo-Castro ◽  
Ricardo Abreu-Blaya ◽  
Juan Bory-Reyes
Keyword(s):  
Clifford Algebras ◽  
Monogenic Functions ◽  
Riemann Problems ◽  
Lower Dimensional

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.

scholarly journals Distributions and the Global Operator of Slice Monogenic Functions

2013 ◽  
Vol 8 (6) ◽  
pp. 1257-1268 ◽  
Author(s):  
Fabrizio Colombo ◽  
Franciscus Sommen
Keyword(s):  
Monogenic Functions ◽  
Global Operator ◽  
Slice Monogenic Functions

On primitives of monogenic functions

2006 ◽  
Vol 51 (8-11) ◽  
pp. 959-970 ◽  
Author(s):  
R. Delanghe
Keyword(s):  
Monogenic Functions
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