Yilmaz Simsek

Algebra and Number Theory · 2005–2019

A researcher in the Science corpus: 21 papers; trusts 22 researchers and is trusted by 18 researchers here, as inferred from the citation graph.

Subfields

• Algebra and Number Theory — 126 citations into it; #266 of 2,864 by trust here, #74 by citations
• Applied Mathematics — 59 citations into it; #1,611 of 7,620 by trust here, #1,400 by citations
• Discrete Mathematics and Combinatorics — 56 citations into it; #480 of 2,017 by trust here, #146 by citations
• Mathematical Physics — 17 citations into it; #4,863 of 8,562 by trust here, #1,776 by citations
• Statistics and Probability — 6 citations into it; #7,279 of 12,932 by trust here, #8,279 by citations
• Geometry and Topology — 5 citations into it
• Numerical Analysis — 5 citations into it; #1,998 of 3,586 by trust here, #2,242 by citations
• Spectroscopy — 5 citations into it

Whom Yilmaz Simsek trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Taekyun Kim
2. Hari M. Srivastava
3. Miklós Bóna
4. Mehmet Acikgoz
5. Jesús Guillera
6. Serkan Araci
7. Qiu-Ming Luo
8. George M. Phillips
9. Junesang Choi
10. Dae San Kim

Who trusts Yilmaz Simsek overall

1. Taekyun Kim
2. Hari M. Srivastava
3. Veli Kurt
4. Qiu-Ming Luo
5. Hacer Ozden
6. Mehmet Acikgoz
7. Daeyeoul Kim
8. I. N. Cangul
9. Serkan Araci
10. Mehmet Cenkci

Papers from Yilmaz Simsek's perspective

Ordered by how strongly the researchers Yilmaz Simsek trusts endorse each paper. Same corpus, a different order for every researcher.

1. $q$-Bernoulli Numbers and Polynomials Associated with Multiple $q$-Zeta Functions and Basic $L$-series
2. An Invariant P -Adic Integral Associated with Daehee Numbers
3. Shintani–Barnes zeta and gamma functions
4. q-Gamma and q-Beta Functions
5. Generalization of Bernoulli polynomials
6. A New Generating Function of (q-) Bernstein-Type Polynomials and Their Interpolation Function
7. Some expansion formulas for a class of generalized Hurwitz–Lerch Zeta functions
8. A New approach to q-zeta function
9. Series Associated with the Zeta and Related Functions
10. A generalization of the Bernstein polynomials based on the q-integers (The ANZIAM Journal)

Their papers

• Explicit formulas for p-adic integrals: approach to p-adic distributions and some families of special numbers and polynomials. (2019) — 46 citations
• Construction of some new families of Apostol-type numbers and polynomials via Dirichlet character and p-adic q-integrals (2018) — 60 citations
• Computation methods for combinatorial sums and Euler‐type numbers related to new families of numbers (2016) — 55 citations
• A unified presentation of three families of generalized Apostol type polynomials based upon the theory of the umbral calculus and the umbral algebra (2013) — 74 citations
• Some families of Genocchi type polynomials and their interpolation functions (2012) — 84 citations
• Generating functions for generalized Stirling type numbers, Array type polynomials, Eulerian type polynomials and their applications (2011) — 164 citations
• Functional equations from generating functions: a novel approach to deriving identities for the Bernstein basis functions (2011) — 54 citations
• Complete sum of products of (h, q)-extension of Euler polynomials and numbers (2010) — 83 citations
• A New Generating Function of (q-) Bernstein-Type Polynomials and Their Interpolation Function (2010) — 99 citations
• Special functions related to Dedekind-type DC-sums and their applications (2009) — 90 citations
• Remarks on q-Bernoulli numbers associated with Daehee numbers (2009) — 160 citations
• ON THE HIGHER-ORDER w-q-GENOCCHI NUMBERS (2009) — 93 citations
• Multivariate Interpolation Functions of Higher-Order -Euler Numbers and Their Applications (2008) — 81 citations
• ON THE ANALOGS OF BERNOULLI AND EULER NUMBERS, RELATED IDENTITIES AND ZETA AND L-FUNCTIONS (2008) — 76 citations
• Twisted Dedekind Type Sums Associated with Barnes' Type Multiple Frobenius-Euler l-Functions (2007) — 84 citations
• New approach to the complete sum of products of the twisted (h, q)-Bernoulli numbers and polynomials (2007) — 59 citations
• A note on p-adic q-Euler measure (2007) — 82 citations
• Twisted (h,q)-Bernoulli numbers and polynomials related to twisted (h,q)-zeta function and L-function☆ (2006) — 157 citations
• q-Dedekind type sums related to q-zeta function and basic L-series☆ (2006) — 57 citations
• On p-adic twisted q-L-functions related to generalized twisted Bernoulli numbers (2006) — 90 citations