SOME PROPERTIES OF THE SCHRODER NUMBERS

被引：9

作者：

Qi, Feng ^{[1
,2
,3
]}

Shi, Xiao-Ting ^{[3
]}

Guo, Bai-Ni ^{[4
]}

机构：

[1] Henan Polytech Univ, Inst Math, Jiaozuo City 454010, Henan, Peoples R China

[2] Inner Mongolia Univ Nationalities, Coll Math, Tongliao City 028043, Inner Mongolia, Peoples R China

[3] Tianjin Polytech Univ, Dept Math, Coll Sci, Tianjin 300387, Peoples R China

[4] Henan Polytech Univ, Sch Math & Informat, Jiaozuo City 454010, Henan Province, Peoples R China

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2016年 / 47卷 / 04期

关键词：

Large Schr oder number; little Schroder numbers; convexity; complete monotonicity; product inequality; determinantal inequality; relation; Delannoy number; generating function; generalization; COMPLETE MONOTONICITY; INTEGRAL-REPRESENTATION; STIRLING NUMBERS; INEQUALITIES; GAMMA;

D O I：

10.1007/s13226-016-0211-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper, the authors present some properties, including convexity, complete monotonicity, product inequalities, and determinantal inequalities, of the large Schroder numbers and find three relations between the Schroder numbers and central Delannoy numbers. Moreover, the authors sketch generalizing the Schroder numbers and central Delannoy numbers and their generating functions.

引用

页码：717 / 732

页数：16

共 50 条

[21] SOME Q-ANALOGS OF THE SCHRODER NUMBERS ARISING FROM COMBINATORIAL STATISTICS ON LATTICE PATHS
BONIN, J
SHAPIRO, L
SIMION, R
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1993, 34 (01) : 35 - 55
[22] A Stern-type congruence for the Schroder numbers
Cao, Hui-Qin
Pan, Hao
DISCRETE MATHEMATICS, 2017, 340 (04) : 708 - 712
[23] Novel Formulas of Schroder Polynomials and Their Related Numbers
Abd-Elhameed, Waleed Mohamed
Amin, Amr Kamel
MATHEMATICS, 2023, 11 (02)
[24] Some properties of Ramsey numbers
Zhang, ZF
Liu, LZ
Li, JW
Song, EM
APPLIED MATHEMATICS LETTERS, 2003, 16 (08) : 1187 - 1193
[25] SOME PROPERTIES OF BALANCING NUMBERS
Habeb, Jebrel M.
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2022, 15 (3B): : 773 - 785
[26] SOME PROPERTIES OF HARMONIC NUMBERS
Wu, Bing-Ling
Chen, Yong-Gao
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2020, 57 (02) : 207 - 216
[27] SOME PROPERTIES OF CATALAN NUMBERS
SCOVILLE, R
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (07): : A602 - A602
[28] Generalizing Narayana and Schroder numbers to higher dimensions
Sulanke, RA
ELECTRONIC JOURNAL OF COMBINATORICS, 2004, 11 (01):
[29] Restricted signed permutations counted by the Schroder numbers
Egge, ES
DISCRETE MATHEMATICS, 2006, 306 (06) : 552 - 563
[30] INTEGRAL REPRESENTATIONS OF THE LARGE AND LITTLE SCHRODER NUMBERS
Qi, Feng
Shi, Xiao-Ting
Guo, Bai-Ni
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2018, 49 (01): : 23 - 38

← 1 2 3 4 5 →