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11B65 Binomial coefficients; factorials; $q$-identities (23 articles)

• Zriaa, Said; Mouçouf, Mohammed: Some extensions of Chu's formulas and further combinatorial identities. (English). Mathematica Bohemica, vol. 149 (2024), issue 3, pp. 397-408
• Chu, Wenchang: Binomial sums via Bailey's cubic transformation. (English). Czechoslovak Mathematical Journal, vol. 73 (2023), issue 4, pp. 1131-1150
• El-Deeb, Sheza M.; Bulut, Serap: Faber polynomial coefficient estimates of bi-univalent functions connected with the $q$-convolution. (English). Mathematica Bohemica, vol. 148 (2023), issue 1, pp. 49-64
• Liu, Ji-Cai; Zhao, Shan-Shan: Truncations of Gauss' square exponent theorem. (English). Czechoslovak Mathematical Journal, vol. 72 (2022), issue 4, pp. 1183-1189
• Luca, Florian; Manganye, Sylvester: On the gaps between $q$-binomial coefficients. (English). Communications in Mathematics, vol. 29 (2021), issue 3, pp. 431-442
• Guo, Victor J. W.; Wei, Chuanan: A $q$-congruence for a truncated $_{4}\varphi _{3}$ series. (English). Czechoslovak Mathematical Journal, vol. 71 (2021), issue 4, pp. 1157-1165
• De Koninck, Jean-Marie; Doyon, Nicolas; Razafindrasoanaivolala, A. Arthur Bonkli; Verreault, William: Bounds for the counting function of the Jordan-Pólya numbers. (English). Archivum Mathematicum, vol. 56 (2020), issue 3, pp. 141-152
• Gu, Cheng-Yang; Guo, Victor J. W.: $q$-analogues of two supercongruences of Z.-W. Sun. (English). Czechoslovak Mathematical Journal, vol. 70 (2020), issue 3, pp. 757-765
• Niu, Da-Wei; Cao, Jian: A note on $q$-partial difference equations and some applications to generating functions and $q$-integrals. (English). Czechoslovak Mathematical Journal, vol. 69 (2019), issue 3, pp. 671-694
• Liu, Ji-Cai: Some finite generalizations of Euler's pentagonal number theorem. (English). Czechoslovak Mathematical Journal, vol. 67 (2017), issue 2, pp. 525-531
• Fang, Jian-Ping: Generalizations of Milne's $U(n+1)$ $q$-Chu-Vandermonde summation. (English). Czechoslovak Mathematical Journal, vol. 66 (2016), issue 2, pp. 395-407
• Meštrović, Romeo: Congruences for Wolstenholme primes. (English). Czechoslovak Mathematical Journal, vol. 65 (2015), issue 1, pp. 237-253
• Lee, Jung-Jo: Congruences for certain binomial sums. (English). Czechoslovak Mathematical Journal, vol. 63 (2013), issue 1, pp. 65-71
• Meštrović, Romeo: Congruences involving the Fermat quotient. (English). Czechoslovak Mathematical Journal, vol. 63 (2013), issue 4, pp. 949-968
• Lee, Jung-Jo: Corrigendum to “Congruences for certain binomial sums”. (English). Czechoslovak Mathematical Journal, vol. 63 (2013), issue 2, pp. 573-575
• Meštrović, Romeo: An elementary proof of a congruence by Skula and Granville. (English). Archivum Mathematicum, vol. 48 (2012), issue 2, pp. 113-120
• Meštrović, Romeo: A note on the congruence ${np^k\choose mp^k} \equiv {n\choose m} \pmod {p^r}$. (English). Czechoslovak Mathematical Journal, vol. 62 (2012), issue 1, pp. 59-65
• Ericksen, Larry: Prime constellations in triangles with binomial coefficient congruences. (English). Acta Mathematica Universitatis Ostraviensis, vol. 17 (2009), issue 1, pp. 67-80
• Korec, Ivan: Structures related to Pascal's triangle modulo $2$ and their elementary theories. (English). Mathematica Slovaca, vol. 44 (1994), issue 5, pp. 531-554
• Lerch, Matyáš Über eine Eigenschaft der Factorielle (German) [On a property of factorials]. Zprávy Král. Čes. spol. nauk, II. tř., 1898, č. 2, 1--4
• Jarolímek, Čeněk: Tabulka binomických koefficientů $\left( \frac{1}{n} \right)_{r}$. (Czech) [The table of binomial coefficients $\left( \frac{1}{n} \right)_{r}$]. Časopis pro pěstování mathematiky a fysiky, vol. 18 (1889), issue 1, pp. 30-31
• Studnička, František Josef: O deduktivním odůvodnění binomialní poučky. (Czech) [On the deduction leading to binomial theorem]. Časopis pro pěstování mathematiky a fysiky, vol. 8 (1879), issue 4, pp. 145-150
• Zdráhal, Alois: Důkaz jedné věty o binomických součinitelích pomocí počtu pravděpodobnosti. (Czech) [A proof of a theorem on binomial coefficients with help of probability theory]. Časopis pro pěstování mathematiky a fysiky, vol. 7 (1878), issue 3, pp. 175-176