scholarly journals Biaxial monogenic functions from Funk-Hecke's formula combined with Fueter's theorem

2015 ◽  
Vol 288 (14-15) ◽  
pp. 1718-1726 ◽  
Author(s):  
Dixan Peña Peña ◽  
Frank Sommen
Keyword(s):  
Monogenic Functions ◽  
Fueter’S Theorem

scholarly journals Fueter’s Theorem for Monogenic Functions in Biaxial Symmetric Domains

2017 ◽  
Vol 72 (4) ◽  
pp. 1747-1758 ◽  
Author(s):  
Dixan Peña Peña ◽  
Irene Sabadini ◽  
Franciscus Sommen
Keyword(s):  
Monogenic Functions ◽  
Fueter’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.

On primitives of monogenic functions

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

Higher spin generalisation of Fueter's theorem

2018 ◽  
Vol 41 (13) ◽  
pp. 4887-4905 ◽  
Author(s):  
David Eelbode ◽  
Tim Janssens
Keyword(s):  
Higher Spin ◽  
Fueter’S Theorem
Sign in / Sign up

Export Citation Format

Share Document