This is the part for which I obtained the consent of the professor.
Relationship between
and 
This formula is unnatural from a commonsense standpoint,
but this is natural if we look at this carefully.
Evaluating no.1
Evaluating no.2
Evaluating no.3
Relationship between
and , No.2
The function is bounded variation.
Application to Taylor Series
Periodicity of Function
Application of Integral Relation
Relation between the regular and
principal parts of the Laurent expansion
Its extreme simplicity suggests that it is quite possible that the proof had already been known
Full explanation (PDF)
Integral formulas
Autumn 1975
The series expansion of B-function
Autumn 1977
Integral relation
05/1998
Property of laurent expansion
08/1999
06/2004
n-th integral function
01/2009
Relation between the regular and
principal parts of the Laurent expansion02/2011
Addition, subtraction, multiplication,
and division of algebraic equations
04/2012
Definition of negative differentiation
and its applications
03/2015
Definition of the Definite Integral
05/2024
Explaining
= -1
03/2025
Integral Notation
05/2025
negative differentiation and its applications
07/2025
4-dimensional complex space
09/2025
Property of laurent expansion
10/2025
Discovery I received
Application to differential geometry
08/2005
In the back of the desk drawer.
Calculate beta funtion
simple computation technique
Explaining
= -1This explanation is like a joke
Relation between me and mathematics
The self-introduction and the inside story
Total
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