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Volumn 3, Issue 17-20, 2009, Pages 897-904

On the p-adic interpolation functions of the generalized twisted (h, q)-Euler numbers

Author keywords

Euler numbers; Euler polynomials; Interpolation function; Twisted (h, q) Euler numbers

Indexed keywords


EID: 69549129941     PISSN: 13128876     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (5)

References (31)
  • 1
    • 48349147457 scopus 로고    scopus 로고
    • Generating functions of the (h, q) extension of twisted Euler polynomials and numbers
    • I.N. Cangul, H. Ozden and Simsek Y., Generating functions of the (h, q) extension of twisted Euler polynomials and numbers, Acta Math. Hungar., 120(3) (2008), 281-299.
    • (2008) Acta Math. Hungar. , vol.120 , Issue.3 , pp. 281-299
    • Cangul, I.N.1    Ozden, H.2    Simsek, Y.3
  • 2
    • 41149106255 scopus 로고    scopus 로고
    • The p-adic generalized twisted (h, q)-Euler-l-function and its applications
    • M. Cenkci, The p-adic generalized twisted (h, q)-Euler-l-function and its applications, Adv. Stud. Contemp. Math., 15(1) (2007), 37-47.
    • (2007) Adv. Stud. Contemp. Math. , vol.15 , Issue.1 , pp. 37-47
    • Cenkci, M.1
  • 3
    • 20844434732 scopus 로고    scopus 로고
    • p-adic interpolation functions and Kummer-type congruences for q-twisted and q-generalized twisted Euler numbers
    • M. Cenkci, M. Can and V. Kurt, p-adic interpolation functions and Kummer-type congruences for q-twisted and q-generalized twisted Euler numbers, Adv. Stud. Contemp. Math., 9(2) (2004), 203-216.
    • (2004) Adv. Stud. Contemp. Math. , vol.9 , Issue.2 , pp. 203-216
    • Cenkci, M.1    Can, M.2    Kurt, V.3
  • 5
    • 0036631054 scopus 로고    scopus 로고
    • q-Volkenborn integration
    • Kim T., q-Volkenborn integration, Russ. J. Math. Phys., 19 (2002), 288-299.
    • (2002) Russ. J. Math. Phys. , vol.19 , pp. 288-299
    • Kim, T.1
  • 6
    • 20844432935 scopus 로고    scopus 로고
    • Power series and asymptotic series associated with the q-analog of two-variable p-adic L-function
    • Kim T., Power series and asymptotic series associated with the q-analog of two-variable p-adic L-function, Russ. J. Math. Phys., 12(2) (2005), 186-196.
    • (2005) Russ. J. Math. Phys. , vol.12 , Issue.2 , pp. 186-196
    • Kim, T.1
  • 7
    • 33845295652 scopus 로고    scopus 로고
    • A new approach to p-adic q - L-functions
    • Kim T., A new approach to p-adic q - L-functions, Adv. Stud. Contemp. Math., 12(1) (2006), 61-72.
    • (2006) Adv. Stud. Contemp. Math. , vol.12 , Issue.1 , pp. 61-72
    • Kim, T.1
  • 8
    • 33947194982 scopus 로고    scopus 로고
    • On the analogs of Euler numbers and polynomials associated with p-adic qintegral on ℤp at q = -1
    • Kim T., On the analogs of Euler numbers and polynomials associated with p-adic qintegral on ℤp at q = -1, J. Math. Anal. Appl., 331 (2007), 779-792.
    • (2007) J. Math. Anal. Appl. , vol.331 , pp. 779-792
    • Kim, T.1
  • 9
    • 35248846452 scopus 로고    scopus 로고
    • On p-adic interpolating function for q-Euler numbers and its derivatives
    • Kim T., On p-adic interpolating function for q-Euler numbers and its derivatives, J. Math. Anal. Appl., 339 (2008), 598-608.
    • (2008) J. Math. Anal. Appl. , vol.339 , pp. 598-608
    • Kim, T.1
  • 10
    • 36549067217 scopus 로고    scopus 로고
    • An invariant p-adic q-integral on ℤp
    • Kim T., An invariant p-adic q-integral on ℤp, Appl. Math. Lett., 21 (2008), 105-108.
    • (2008) Appl. Math. Lett. , vol.21 , pp. 105-108
    • Kim, T.1
  • 11
    • 43349089300 scopus 로고    scopus 로고
    • q-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients
    • Kim T., q-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients, Russ. J. Math. Phys., 15(1) (2008), 51-57.
    • (2008) Russ. J. Math. Phys. , vol.15 , Issue.1 , pp. 51-57
    • Kim, T.1
  • 12
    • 42649116068 scopus 로고    scopus 로고
    • The modified q-Euler numbers and polynomials
    • Kim T., The modified q-Euler numbers and polynomials, Adv. Stud. Contemp. Math., 16 (2008), 161-170.
    • (2008) Adv. Stud. Contemp. Math. , vol.16 , pp. 161-170
    • Kim, T.1
  • 13
    • 54549103210 scopus 로고    scopus 로고
    • Note on the Euler numbers and polynomials
    • Kim T., Note on the Euler numbers and polynomials, Adv. Stud. Contemp. Math., 17 (2008), 131-136.
    • (2008) Adv. Stud. Contemp. Math. , vol.17 , pp. 131-136
    • Kim, T.1
  • 14
    • 34547105776 scopus 로고    scopus 로고
    • On the twisted q-Euler numbers and polynomials associated with basic q-l-functions
    • Kim T., S.-H. Rim, On the twisted q-Euler numbers and polynomials associated with basic q-l-functions, J. Math. Anal. Appl., 336(1) (2007), 738-744.
    • (2007) J. Math. Anal. Appl. , vol.336 , Issue.1 , pp. 738-744
    • Kim, T.1    Rim, S.-H.2
  • 15
    • 34250831218 scopus 로고    scopus 로고
    • A note on the alternating sums of powers of consecutive q-integers
    • Kim T., S.-H. Rim and Simsek Y., A note on the alternating sums of powers of consecutive q-integers, Adv. Stud. Contemp. Math., 13 (2006), 159-164.
    • (2006) Adv. Stud. Contemp. Math. , vol.13 , pp. 159-164
    • Kim, T.1    Rim, S.-H.2    Simsek, Y.3
  • 16
    • 41149132694 scopus 로고    scopus 로고
    • New q-Euler numbers and polynomials associated with p-adic q-integrals
    • Kim T., M.S. Kim, L.C. Jang and S.-H. Rim New q-Euler numbers and polynomials associated with p-adic q-integrals, Adv. Stud. Contemp. Math., 15 (2007), 140-153.
    • (2007) Adv. Stud. Contemp. Math. , vol.15 , pp. 140-153
    • Kim, T.1    Kim, M.S.2    Jang, L.C.3    Rim, S.-H.4
  • 17
    • 43349089697 scopus 로고    scopus 로고
    • Analytic continuation of the multiple Daehee q-l-functions assocated with Daehee numbers
    • Kim T., Simsek Y. Analytic continuation of the multiple Daehee q-l-functions assocated with Daehee numbers, Russ. J. Math. Phys., 15(1) (2008), 58-65.
    • (2008) Russ. J. Math. Phys. , vol.15 , Issue.1 , pp. 58-65
    • Kim, T.1    Simsek, Y.2
  • 19
    • 43949146891 scopus 로고    scopus 로고
    • Multivariate interpolation functions of higherorder q-Euler numbers and their applications
    • Art. ID 390857.
    • H. Ozden, I.N. Cangul and Simsek Y., Multivariate interpolation functions of higherorder q-Euler numbers and their applications, Abstr. Appl. Anal., 2008, Art. ID 390857.
    • (2008) Abstr. Appl. Anal.
    • Ozden, H.1    Cangul, I.N.2    Simsek, Y.3
  • 20
    • 47049097831 scopus 로고    scopus 로고
    • A new extension of q-Euler numbers and polynomials related to their interpolation functions
    • H. Ozden and Simsek Y., A new extension of q-Euler numbers and polynomials related to their interpolation functions, Appl. Math. Letters., 21 (2008), 934-939.
    • (2008) Appl. Math. Letters. , vol.21 , pp. 934-939
    • Ozden, H.1    Simsek, Y.2
  • 21
    • 43949108107 scopus 로고    scopus 로고
    • Euler polynomials associated with p-adic q-Euler measure
    • H. Ozden, Simsek Y. and I.N. Cangul, Euler polynomials associated with p-adic q-Euler measure, Gen. Math., 15(2) (2007), 24-37.
    • (2007) Gen. Math. , vol.15 , Issue.2 , pp. 24-37
    • Ozden, H.1    Simsek, Y.2    Cangul, I.N.3
  • 23
    • 33751203578 scopus 로고    scopus 로고
    • A note on q-Euler numbers associated with the basic q-zeta function
    • S.-H. Rim, Kim T., A note on q-Euler numbers associated with the basic q-zeta function, Appl. Math. Letters, 20(4) (2007), 366-369.
    • (2007) Appl. Math. Letters , vol.20 , Issue.4 , pp. 366-369
    • Rim, S.-H.1    Kim, T.2
  • 24
    • 20844453482 scopus 로고    scopus 로고
    • On the roots of the q-analogue of Euler-Barnes' polynomials
    • C.S. Ryoo, H. Song and R.P. Agarwal, On the roots of the q-analogue of Euler-Barnes' polynomials, Adv. Stud. Contemp. Math., 9(2) (2004), 153-163.
    • (2004) Adv. Stud. Contemp. Math. , vol.9 , Issue.2 , pp. 153-163
    • Ryoo, C.S.1    Song, H.2    Agarwal, R.P.3
  • 25
    • 33749535910 scopus 로고    scopus 로고
    • Theorems on twisted L-functions and twisted Bernoulli numbers
    • Simsek Y., Theorems on twisted L-functions and twisted Bernoulli numbers, Adv. Stud. Contemp. Math., 11 (2005), 205-218.
    • (2005) Adv. Stud. Contemp. Math. , vol.11 , pp. 205-218
    • Simsek, Y.1
  • 26
    • 14044267490 scopus 로고    scopus 로고
    • q-analogue of twisted l-series and q-twisted Euler numbers
    • Simsek Y., q-analogue of twisted l-series and q-twisted Euler numbers, J. Number Theory, 110(2) (2005), 267-278.
    • (2005) J. Number Theory , vol.110 , Issue.2 , pp. 267-278
    • Simsek, Y.1
  • 27
    • 33845307272 scopus 로고    scopus 로고
    • On p-adic twisted q-L-functions related to generalized twisted Bernoulli numbers
    • Simsek Y., On p-adic twisted q-L-functions related to generalized twisted Bernoulli numbers, Russ. J. Math. Phys., 13(3) (2006), 340-348.
    • (2006) Russ. J. Math. Phys. , vol.13 , Issue.3 , pp. 340-348
    • Simsek, Y.1
  • 28
    • 34247350680 scopus 로고    scopus 로고
    • On twisted q-Hurwitz zeta function and q-two-variable L-function
    • Simsek Y., On twisted q-Hurwitz zeta function and q-two-variable L-function, Appl. Math. Comput., 187(1) (2007), 466-473.
    • (2007) Appl. Math. Comput. , vol.187 , Issue.1 , pp. 466-473
    • Simsek, Y.1
  • 29
    • 42649142891 scopus 로고    scopus 로고
    • Generating functions of the twisted Bernoulli numbers and polynomials associated with their interpolation functions
    • Simsek Y., Generating functions of the twisted Bernoulli numbers and polynomials associated with their interpolation functions, Adv. Stud. Contemp. Math., 16(2) (2008), 251-278.
    • (2008) Adv. Stud. Contemp. Math. , vol.16 , Issue.2 , pp. 251-278
    • Simsek, Y.1
  • 30
    • 54549119113 scopus 로고    scopus 로고
    • On interpolation functions of the twisted generalized Frobenius-Euler numbers
    • Simsek Y., O. Yurekli and V. Kurt, On interpolation functions of the twisted generalized Frobenius-Euler numbers, Adv. Stud. Contemp. Math., 15(2) (2007), 187-194.
    • (2007) Adv. Stud. Contemp. Math. , vol.15 , Issue.2 , pp. 187-194
    • Simsek, Y.1    Yurekli, O.2    Kurt, V.3
  • 31
    • 20744457221 scopus 로고    scopus 로고
    • q-Bernoulli numbers and polynomials associated with multiple q-zeta functions and basic L-series
    • H. M. Srivastava, Kim T. and Simsek Y., q-Bernoulli numbers and polynomials associated with multiple q-zeta functions and basic L-series, Russ. J. Math. Phys., 12(2) (2005), 241-268.
    • (2005) Russ. J. Math. Phys. , vol.12 , Issue.2 , pp. 241-268
    • Srivastava, H.M.1    Kim, T.2    Simsek, Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.