Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Continuous Analogues for the Pochhammer Symbol

Rafael Díaz

Abstract

We develop continuous analogues for the Pochhammer symbol following the line of research initiated by Díaz and Cano on the construction of continuous analogues for combinatorial objects.

Continuous Analogues for the Pochhammer Symbol

Abstract

We develop continuous analogues for the Pochhammer symbol following the line of research initiated by Díaz and Cano on the construction of continuous analogues for combinatorial objects.
Paper Structure (4 sections, 15 theorems, 92 equations)

This paper contains 4 sections, 15 theorems, 92 equations.

Table of Contents

  1. Introduction
  2. Pochhammer Symbol and Convex Polytopes
  3. Continuous Analogue - First Approach
  4. Continuous Analogue - Second Approach

Key Result

Proposition 1

Let $\ (x,y,n) \in \mathbb{R} \times\mathbb{ R }\times \mathbb{N}, \ $ then $\ \ r(x,y,n) = \sum_{k=0}^{n} r_{n,k}\ x^{k}y^{n-k},$

Theorems & Definitions (35)

  • Proposition 1
  • Example 2
  • Lemma 3
  • proof
  • Theorem 4
  • proof
  • Corollary 5
  • proof
  • Remark 6
  • Theorem 7
  • ...and 25 more