Apparently the Catholic Church has recognized Joachim and Anne as saints, and it is said that they are the father and mother of the virgin Mary. Is the belief that Joachim and Anne are the parents of Mary dogmatically declared by the Roman Catholic Church?
The Catholic Church is ambiguous about the very existence of Saints Anne and Joachim. In the apocryphal Infancy Gospel of James, believed to have been written around 150 CE, they are described as the parents of Mary, mother of Jesus and, although the Infancy Gospel of James is non-canonical, this became Christian tradition. However, since the genealogies of Jesus in Matthew and Luke name two different fathers for Joseph, theologians since the eighth century have argued that the genealogy in Luke is actually the family tree of Mary, and that Heli is her father, in which case Joachim ceases to exist.
Anne and Joachim are regarded as saints in the Catholic Church although, like all the earliest saints, they were never formally canonised. Anne is the patron saint of Christian mothers and of women in labour, and Joachim is the patron Saint of fathers, grandfathers, grandparents, married couples, cabinet makers and linen traders. Nevertheless, these honours fall short of dogma. The Catholic website, http://www.catholic.org/saints/saint.php?saint_id=22, states that there is no historical evidence of Anne and Joachim, and any stories about Mary's father and mother come to us through legend and tradition.
Starting of with a definition
In my answer to What is the difference between a dogma, a doctrine, an infallible statement, an ex cathedra statement, etc.?, Dogmas are revealed truths which have been formally defined or proposed by the Church.
Saints Anne & Joachim as parents of the Blessed Virgin Mary, whose Memorial is on July 26 in the Church's liturgical calender, has NOT been formally defined or proposed by the Church and is therefore NOT a Catholic dogma.
The section Her parents in this article The Blessed Virgin Mary | New Advent, interestingly says that a few commentators adhere to a view of St. Luke's genealogy which implies that Jesus is the Son of Heli through Mary. The section continues
the name of Mary's father, Heli, agrees with the name given to Our Lady's father in a tradition founded upon the report of the Protoevangelium of James, an apocryphal Gospel which dates from the end of the second century. According to this document the parents of Mary are Joachim and Anna.
The said section then makes an interesting connection
Now, the name Joachim is only a variation of Heli or Eliachim, substituting one Divine name (Yahweh) for the other (Eli, Elohim).
Does the Church teach that Mary's parents are Ss. Joachim and Anne? Yes!
Does the Catholic Church teach as a Catholic dogma, that Mary's parents are Ss. Joachim and Anne? No!
New evidence reveals that Matthew 1:16 has a scribal error. And when that error is corrected reads: "Joseph FATHER of Mary".
This means that the Matthew 1 lineage IS Mary's and her father is Joseph.
So, the many positions that the non-canonical Gospel of James is suspect, is now proven.
The Orthodox Church wisdom in not making Joachim and Anne a dogma has been a wise move.