Otwarty dostęp

General Limit Formulae Involving Prime Numbers


Zacytuj

[1] R. Farhadian, A remark on limnpnp1p2pn=e {\lim _{n \to \infty }}^{pn}\sqrt {{p_1}{p_2} \cdots {p_n} = e} , Math. Gaz. 105 2021, 311–312.10.1017/mag.2021.70 Search in Google Scholar

[2] R. Farhadian, A generalization of Euler’s limit, Amer. Math. Monthly 129 2022, 384.10.1080/00029890.2022.2027718 Search in Google Scholar

[3] R. Farhadian and R. Jakimczuk, Notes on a general sequence, Ann. Math. Sil. 34 2020, 193–202.10.2478/amsil-2020-0006 Search in Google Scholar

[4] R. Farhadian and R. Jakimczuk, A note on the geometric mean of prime numbers and generalizations, J. Discrete Math. Sci. Cryptogr. (2020). DOI: 10.1080/09720529.2020.1723920 Open DOISearch in Google Scholar

[5] R. Farhadian and R. Jakimczuk, A note on two fundamental recursive sequences, Ann. Math. Sil. 35 2021, 172–183.10.2478/amsil-2021-0007 Search in Google Scholar

[6] R. Farhadian and R. Jakimczuk, A further generalization of limnn!n/n=1/e {\lim _{n \to \infty }}\root {^n} \of {n!} /n = 1/e , Ann. Math. Sil. (2022). DOI: 10.2478/amsil-2022-0006 Open DOISearch in Google Scholar

[7] R. Farhadian and R. Jakimczuk, On a sequence involving products of primes, J. Inter-discip. Math. (2022). DOI: 10.1080/09720502.2021.196198110.1080/09720502.2021.1961981 Search in Google Scholar

[8] S.R. Finch, Mathematical Constants, Cambridge University Press, Cambridge, 2003.10.1017/CBO9780511550447 Search in Google Scholar

[9] R. Jakimczuk, The ratio between the average factor in a product and the last factor, Math. Sci. Q. J. 1 (2007), 53–62. Search in Google Scholar

[10] R. Jakimczuk, Functions of slow increase and integer sequences, J. Integer Seq. 13 (2010), Article 10.1.1, 14 pp. Search in Google Scholar

[11] J. Rey Pastor, P. Pi Calleja, and C.A. Trejo, Análisis Matemático, Vol. 1, Editorial Kapelusz, Buenos Aires, 1969. Search in Google Scholar

eISSN:
2391-4238
Język:
Angielski
Częstotliwość wydawania:
2 razy w roku
Dziedziny czasopisma:
Mathematics, General Mathematics