1. Abramowitz, M., Stegun, I.A.: Handbook of Mathematical Functions, Tenth Printing. National Bureau of Standards, Gaitherburg (1972)
2. André, D.: Sur les permutations alternées. J. Math. Pures Appl. 7, 167–184 (1881)
3. Bényi, B., Méndez, M., Ramírez, J.L., Wakhare, T.: Restricted $$r$$-Stirling numbers and their combinatorial applications. Appl. Math. Comput. 348, 186–205 (2019)
4. Bóna, M.: Combinatorics of Permutations. Chapman & Hall/CRC, Boca Raton (2004)
5. Broder, A.Z.: The $$r$$-Stirling numbers. Discrete Math. 49, 241–259 (1984)