TY - JOUR
T1 - Integration of Functions of a Hyperbolic Variable
AU - Luna-Elizarrarás, M. E.
N1 - Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.
PY - 2022/4
Y1 - 2022/4
N2 - This paper presents a systematic study of the theory of integration of hyperbolic-valued functions from a new point of view where the notion of partial order defined on the set of hyperbolic numbers and the notion of hyperbolic intervals have been taken into consideration. Starting with the definitions of partition of a hyperbolic interval and the definition of hyperbolic integral, the basic theorems of hyperbolic integration are proved, thus establishing a solid foundation of a theory that allows further developments.
AB - This paper presents a systematic study of the theory of integration of hyperbolic-valued functions from a new point of view where the notion of partial order defined on the set of hyperbolic numbers and the notion of hyperbolic intervals have been taken into consideration. Starting with the definitions of partition of a hyperbolic interval and the definition of hyperbolic integral, the basic theorems of hyperbolic integration are proved, thus establishing a solid foundation of a theory that allows further developments.
KW - Functions of a hyperbolic variable
KW - Hyperbolic numbers
KW - Partial order
UR - http://www.scopus.com/inward/record.url?scp=85126748152&partnerID=8YFLogxK
U2 - 10.1007/s11785-022-01197-9
DO - 10.1007/s11785-022-01197-9
M3 - Artículo
AN - SCOPUS:85126748152
SN - 1661-8254
VL - 16
JO - Complex Analysis and Operator Theory
JF - Complex Analysis and Operator Theory
IS - 3
M1 - 35
ER -